1. Grade 12 Calculus

    Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. f(x) = (x − 1)^2 , 0 ≤ x ≤ 2
  2. Grade 12 Calculus

    Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3 b) f(x) = (x − 1)^2 , 0 ≤ x ≤ 2
  3. Grade 12 Calculus

    Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a)  =  − 4 + 3 , 0 ≤  ≤ 3 b)  =  − 1 , 0 ≤  ≤ 2
  4. Grade 12 Calculus

    Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3 b) f(x) = (x − 1)^2 , 0 ≤ x ≤ 2
  5. Grade 12 Calculus

    Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3 b) f(x) = (x − 1)^2 , 0 ≤ x ≤ 2
  6. Calculus

    1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[-4,-2]. If Rolle's Theorem can be applied, find all values of c
  7. math

    help me ..... Consider the function f(x)= -cos3x -4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the
  8. math

    help me ..... Consider the function f(x)= -cos3x -4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the
  9. math

    Consider the function f(x)= -cos3x -4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute
  10. math

    weloo. Consider the function f(x)= -cos3x -4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute
  11. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum =
  12. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum =
  13. calculus

    Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) f(x) = x^4 − 2x^3 + x + 1, [−1,3] minima (x,
  14. math calculus

    Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) g(x) = (x^2 − 4)^2/3, [−5, 3] find absolute
  15. Calculus

    Find the absolute extrema of the function on the interval [2, 9]. (Round your answers to the nearest hundredth.) g(x)=x/(ln(x)) Absolute minimum: at x = Absolute maximum: at x =
  16. AP Calculus

    Consider the function f(x) = 1/4x^4 - 5/3x^3 - 3/2x^2 + 15x - 3. A. Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. B. Determine the interval(s) where f(x)
  17. extrema

    The function is given as y = 7x^3 - 8x^2 -16x +15 The max is at x = -4/7 & min is at x = 4/3 How do I know that it is local max&min or absolute max &min? (graphing calculator is not allowed) You know that it's a local minimum and maximum because the x^3
  18. Relative Extrema: AP Calculus

    Consider the function f(x)= (3/4)x^4-x^3-3x^2+6x Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. Determine the interval(s) where f(x) is increasing (if any)
  19. math

    Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) g(x) = (x^2 − 4)^2/3, [−5, 3]
  20. Calculus

    Locate the absolute extrema of the function on the closed interval f(x) = 2(3-x) [-1,2]
  21. calculus (gr 12)

    State the absolute maximum value and the absolute minimum value of each function, if the function is defined on the interval shown. {I CANNOT POST THE GRAPH SO CAN SOMEONE EMAll ME AT miss.a.parker at hot mail(. com) SO I CAN EMAIL IT TO THEM SO YOU CAN
  22. Math

    For the function y=(x^4)-(2x^2)+1 Identify all relative extrema. Identify any points of inflection. Identify the absolute extrema on the interval[-2,3].
  23. Math

    For the function y = x^4-2x^2+1 Identify all relative extrema. Identify any points of inflection. Identify the absolute extrema on the interval [-2,3]
  24. Calculus 1

    Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3]
  25. AP Calculus

    Locate the absolute extrema of the function f(x)=2x^2-12x+4 on the closed interval [-6,6].
  26. Grade 12 Calculus

    State the absolute maximum value and the absolute minimum value of each function, if the function is defined on the interval shown. {I CANNOT POST THE GRAPH SO CAN SOMEONE EMAll ME AT miss.a.parker at hot mail(. com) SO I CAN EMAIL IT TO THEM SO YOU CAN
  27. Applied Calculus

    Find the absolute extrema of the function on the interval [2,3]. (Round your answers to the nearest hundredth.) Absolute Minimum ___ at x=___ Absolute Maximum ___ at x=___
  28. Calculus

    Let f be the function defined for x >or= to 0 with f(0)=5 and f', the first derivative of f, give by f'(x)=e^(-x/4)sin(x^2). A) Use the graph of f' to determine whether the graph of f is concave up, concave down, or neither on the interval
  29. Math- Calculus

    Locate the absolute extrema of the function on the closed interval: y= 4/x+tan(pix/8), [1,2]
  30. math

    Question-2; Consider the function f(x)= -cos3x -4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the
  31. extreme value of absolute.....

    find the extreme values of the function on the interval and where they occur. f(x) = |x-1|-|x-5|, -2<=x<=7 How do I do this? Sorry for double post. I really need to do this, I don't see an easy way. You can graph it, there is not anything here that
  32. Honors Pre-Calculus

    The prompt says "Graph each function. Determine the interval[s] for which the function is increasing and the interval[s] for which the function is decreasing." The problems that are given in this prompt are: 1. y= x^3+3x^2-9x 2. f(x)=1/(x+1)-4 3.
  33. Please check my Calculus

    1. Given f(x)=-6/x, choose the correct statement A. The graph of f is concave upward on the interval (negative infinity, 0) B. The graph of f is concave downward on the interval (negative infinity, 0) C. The graph of f is concave upward on the interval
  34. Calculus

    Find the relative extrema and absolute extrema if any. Use the first derivative test for the function f(x)=x^3-3x+2
  35. College Algebra

    1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down? (b) what is the vertex (h,k) of f? (c) what is the axis of symmetry? (d) what are the intercepts? (e) how is the graph suppose to look
  36. Math

    Find the absolute extrema of the function on the closed interval. f (x) = x^3 − 12x, [0, 4] minimum (x, y) =( ) maximum (x, y) = ( ) I can't even give a setup cause I am lost please help!
  37. Math - Int Trig

    31) Locate, name, and classify the extrema of the function. Determine intervals which the function is increasing and decreasing f(x) = -x(x^2 - 2) 32) Determine the end behavior of the function f(x) = 2x - x^3
  38. Calculus

    Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe^-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
  39. Calculus

    Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
  40. Math(Calculus)

    Im having a real difficult time solving this question. Find the absolute extrema of the function. h(x) = e^x^(2) - 4 on [-2,2] Absolute maximum value: at x = Absolute minimum value: at x =
  41. Grade 11 MAth

    Determine the equation of a sine function that would have a range of {y| -4 ≤ y ≤ 1, y ε R} and a period of 45o. Determine the cosine function that results in the same graph as the function above. Deter
  42. Absolute Extrema

    Find the minimum and maximum values of the function f(x)= 2/3 sin pix on the interval [1,2] (domain). I got (1.5, -2/3) as the minimum and no maximum on the interval. Is it correct? Thank you.
  43. Calc-extrema

    Find all relative extrema in the function h(x)=cos(2pix/3) on the interval [0,2]
  44. Calculus

    Determine where the absolute extrema of f(x)=-3(x^2)+7x on the interval [1,3] occur. 1. The absolute maximum occurs at = 2. The absolute minimum occurs at =
  45. Algebra

    Could you please check my work. Determine whether the realtion is a funtion. 2.{(-6,2),(-2,5),(3,2),(3,-7)} -Not a function 2. Determine whether the equation defines y as a function of x. 2x+4y=15- the answer I got is y is a fucntion of x. Evalute the
  46. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest
  47. high school calculas

    Find the (a) the local extrema, (b) the intervals on which the function is increasing, (c) the interval on which the function is decreasing h(x)=2/x
  48. College algebra

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph the function y=
  49. college algebra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function.
  50. college algebra

    Given the following quadratic equation, find;? a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function.
  51. College Algrbra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function
  52. Calculus

    Find the absolute maximum and absolute minimum values of the function f(x)=x^3+6x^2-63x+4 on each of the indicated variables. Enter DNE for does not exist. (A) Interval = [-8,0] Absolute maximum = Absolute minimum = (B) Interval = [-5,4] Absolute maximum =
  53. calculus

    Find the absolute extrema of the function on the closed interval. y = 1 − |t − 1|, [−9, 6]
  54. college algebra

    given the folowing quadratic equations find the vertex the axis of symmetry the intercept the domain the range the interval where the function is increasing andthe interval where the function is decreasing graph the function y=X^2+4x
  55. Calculus

    The function f(x)=(x^4)-(10x^3)+(18x^2)-8 is continuous on the closed interval (1,8). Find the absolute minimum and maximum values for the function on this interval. Please help me!!! And please show your work so that i understand!! Thank you!!
  56. calculus

    Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) maximum (x, y) =
  57. precalculus

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4
  58. Algebra

    Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph. I really need help with this one but I can't post the graph.
  59. algebra

    the graph of a first degree absolute value function has a Y-intercept of 3, x-intercepts of -9 and -3 , and a minimum vlaue of -3 at x=-6. on the axes provided , sketch a graph of this function.
  60. pre - CALCULUS

    Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function. h(x) = 2 | x | + 2
  61. pre - CALCULUS

    Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function. h(x) = 2 | x | + 2
  62. pre calculus

    find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number of turning pointsof the
  63. math

    Find the absolute extrema of the function f(x,y)=x+y-2xy on the region x^2+y^2<=1
  64. calculus

    Construct a sign chart for the derivative. Then determine the relative and absolute extrema for y = -4x2 + 4 on the interval [-3,3].
  65. Please help! quadratic equation

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph the function y=
  66. Please check my Calculus

    1. Find all points of inflection: f(x)=1/12x^4-2x^2+15 A. (2, 0) B. (2, 0), (-2, 0) C. (0, 15) D. (2, 25/3), (-2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values in to get my
  67. Please check my Calculus

    1. Which of the following describes the behavior of f(x)=x^3-x A. Relative maximum: x=0 B. Relative maximum: x=(1/sqrt(3)); Relative minimum: x=(-1/sqrt(3)) C. Relative maximum: x=(-1/sqrt(3)); Relative minimum: x=(1/sqrt(3)) D. Relative minimum: x=0 E.
  68. precalculus

    analyzethe graph of the function Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points. (d) Graph the function Please show
  69. Calculus HELP PLEASE!!!

    Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]
  70. Calculus HELP PLEASE!!!

    Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]
  71. calc

    Average daily temp,y, is y=45-23cos(2pi(x-32)/365), where x is time in days, x=1, corresponds to Jan 1 and y is temp in degrees F. Determine the period of the function. Determine critical numbers, over one period. Determine relative extrema, what does
  72. Pre-Calculus

    I need help sketching the graph of a piecewise function. f(x) = { x² if |x|≤1, -x² if |x|>1
  73. calculus

    f(x)= 3+4xe^{-5x}complete the sentences concerning the function a) the function f is decresing on the iterval...... b) the function f is increacing on the interval c) the function f is concave down on the interval d) the function f is concave up on the
  74. Trig

    a) Determine the equation of a sine function that would have a range of {y€R|-7<(or equal) Y <(or equal) 1} and a period of 135degrees. b) determine the cosine function that results in the same function an part (a). Any help provided will be
  75. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent function. c.it causes the
  76. Calculus HELP!!!

    Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from -4 to x f(t)dt. For each of g(-1), g'(-1), and g''(-1), find the value of state that it
  77. Algebra HELP!

    I cannot find an example and am confused about what to do with this problem. Can someone tell me what they want? Do they want me to graph the function and determine x&f? I am just not sure what why my answer is suppose to be. Compare the graph of the given
  78. maths

    1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin 2pie/3)^4]/ (cos pie/6 - isin
  79. maths

    1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin 2pie/3)^4]/ (cos pie/6 - isin
  80. calculus

    Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function f(x,y)= 3x^2 - 3e^5y^2
  81. discrete math

    1. let A and B be sets. Show that A U (B - A)=A U B 2. determine whether f is a function from Z to R if a) f(n)= +n b) 1/(n square -4) For 1. B-A is the same as B intersect ~A (That's the complement of A) So A U B = A U (B int ~A) = (A U B) int (A U ~A) A
  82. calculus

    Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. f(x,y)=3x^2 - 3xy + 3y^2 +5
  83. limit from graph

    How do I know if the limit of a function exists or not from that function's graph. Thanks. It the graph of a function becomes straighter at + and -infinity, it means that the function behaves linearly in the limit. However there may be other types of
  84. calc

    Consider the function below. (Round the answers to two decimal places. f(x) = 2x tan(x) -p/2 < x < p/2 (a) Find the interval where the function is increasing. Find the interval where the function is decreasing. (b) Find the local minimum value. (c)
  85. calculus

    consider the function f(x)= x^2/4 -6 Rn is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x)= x^2/4 -6 on the interval [0,4] and write your answer as a function of n without any
  86. Physics

    In the time interval from 0.0 s to 10.1 s, the acceleration of a particle traveling in a straight line is given by ax = (0.1 m/s3)t. Let to the right be the +x direction. The particle initially has a velocity to the right of 10.0 m/s and is located 5.4 m
  87. math pre calculus

    find the following for the function f(x)=(x+5)^2(x-2)^2 a.find the x and y intercepts, b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f d.determine the behavior of
  88. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6
  89. math

    Consider the function f(x)= 3 ------. x^2-25 a) Determine any restrictions on x. b) State the domain and range. c) State equation(s) for the asymptote(s). d) Determine any x- and y-intercepts. e) Sketch a graph of the function. f) Describe the behaviour of
  90. mean value theorem

    Show that the function f(x)=1-|x|, [-1,1] does not satisfy the hypotheses of the mean value theorem on the given interval. Also how do I graph the function together with the line through the points A(a,f(a)) and B(b,f(b)). Also how do I find values of c in
  91. Business Mathematics

    A local travel agent is organizing a charter ride to a well known resort. The agent has quoted a price of $30 per person if 100 or fewer sign up for the ride. For every person over the 100, the price of the ticket for all will decrease by $2.50. For
  92. Calculus

    Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie) please show me how you got this!!
  93. pre-cal: graphs of functions- fill in the blank

    To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a
  94. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a
  95. Calculus

    I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the integral as N approaches infinity?
  96. College algebra!

    For the linear function f(x) = 5x + 3 (a) Determine the slope and y-intercept (b) Use the slope and y-intercept to graph the linear function. (c) Determine the average rate of change of the function (d) Determine whether the linear function is increasing,
  97. Pre-Calc/Trig

    Identify the extrema for the function. Classify it as a relative (local) or absolute (global) maximum or minimum value. f(x)=4x^3-12x^2+15
  98. Calculus

    Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such that I.f'(c)=0 II.f'(x)>0 when a≤x<c III.f'(x)<0 when c<x<≤b Which of the following statements must be
  99. Calculus

    The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + 2) on the open interval (-3,3). 1. Determine the x-coordinate of the absolute minimum of f(x) in the open interval (-3,3). Justify your answer. 2. Find all values of x for which f(x) is
  100. Math

    flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you