# 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 −

44,318 results

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

asked by jam on April 15, 2013

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

asked by i am dying helppp on April 18, 2013

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

asked by james on April 15, 2013

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

asked by samantha on April 16, 2013

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

asked by i am dying helppp on April 18, 2013
6. ## 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 maximum (x,

asked by akash on March 31, 2013
7. ## 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 = (B)

8. ## 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 = (B)

9. ## 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 =

asked by Anonymous on July 12, 2013
10. ## 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]

asked by akash on March 31, 2013
11. ## 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

asked by Cynthia on October 31, 2012
12. ## 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 =

asked by Salman on November 7, 2009
13. ## 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].

asked by Anonymous on April 19, 2011
14. ## 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]

asked by Anonymous on April 17, 2011
15. ## Calculus

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

asked by Jenn on November 16, 2009
16. ## calculus

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

asked by Sagar on March 27, 2016
17. ## 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=___

asked by Jacob on April 12, 2013
18. ## Calculus 1

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

asked by Justin on November 5, 2015
19. ## AP Calculus

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

asked by Help... on December 18, 2009
20. ## Math- Calculus

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

asked by Olivia on November 9, 2012
21. ## 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)

asked by Steph on January 17, 2017
22. ## calculus

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

asked by nikita on February 27, 2013
23. ## 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!

asked by Malika on March 3, 2012
24. ## 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, y) =

asked by Sagar on April 5, 2016
25. ## Calculus

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

asked by Alan on April 17, 2012
26. ## 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 =

asked by Shan on July 12, 2013
27. ## 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 =

asked by Anonymous on July 13, 2013
28. ## 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 =

asked by Chris on April 26, 2017
29. ## 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 =

asked by Nate on October 29, 2013
30. ## 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) =

asked by Sam on April 5, 2016
31. ## 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

asked by weloo_volley on April 25, 2012
32. ## 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

asked by weloo_volley on April 25, 2012
33. ## 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

asked by weloo_volley on April 30, 2012
34. ## 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

asked by weloo_volley on May 8, 2012
35. ## 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

asked by Jen on November 19, 2006
36. ## Calculus

find the absolute extrema for f(x)= (5-x) with a closed interval of -1,2

asked by AC on December 18, 2014
37. ## 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

asked by Anonymous on January 12, 2015
38. ## 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)

asked by Pax on January 23, 2015
39. ## math

Sketch f (x) = x + cos x on [-2pie,2pie ]. Find any local extrema, inflection points, or asymptotes. And find the absolute maximum and absolute minimum values of f on the given interval. i cant seem to figure out how to solve this

asked by rudy on May 16, 2008
40. ## 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

asked by t on October 16, 2010
41. ## math

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

asked by Matt on April 15, 2008
42. ## 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

asked by Lilly on May 16, 2014
43. ## Precalculus

How do you determine graphically any local and absolute extrema. f(x)=x2+2x-15

asked by Amber Hill on September 20, 2010
44. ## 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

asked by Mike on October 18, 2016
45. ## 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

asked by pipi on November 7, 2008
46. ## 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

47. ## 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

asked by Anonymous on January 12, 2015
48. ## 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

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

asked by Alexandra on April 15, 2013

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

asked by Elizabeth on October 18, 2012

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

asked by Elizabeth on October 18, 2012
52. ## 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.

asked by Anonymous on January 12, 2015
53. ## 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!!

asked by Sam on March 17, 2011
54. ## 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

asked by Anonymous on November 11, 2014
55. ## 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) = (b) [−5,

asked by Sagar on April 5, 2016
56. ## Calc-extrema

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

asked by daryl on December 9, 2012
57. ## math

Given the function f(x)=x^4−6x^2 a.) Find all values of x where local extrema points occur b.)find all values of x where inflection points occur c.) find all local extrema of f(x) d.) find all global extrema of f(x) over the closed interval [-2,3]

asked by Ryan on November 27, 2012
58. ## Calculus

Let f(t)=t\sqrt{4-t} on the interval [-1,3]. Find the absolute maximum and absolute minimum of f(t) on this interval. The absolute max occurs at t=. The absolute min occurs at t=

asked by Alessandra Romano on November 1, 2014
59. ## 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!!

asked by Gabby on April 23, 2013
60. ## calculus

Let g(s)=1/(s-2) on the interval [0,1]. Find the absolute maximum and absolute minimum of g(s) on this interval. The absolute max occurs at s=. The absolute min occurs at s=

asked by Alessandra Romano on November 1, 2014
61. ## calculus

Let g(x)=(4x)/(x^2+1) on the interval [-4,0]. Find the absolute maximum and absolute minimum of g(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x=

asked by Alessandra Romano on November 1, 2014
62. ## calculus

Let f(x)=-x^2+3x on the interval [1,3]. Find the absolute maximum and absolute minimum of f(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x=

asked by Alessandra Romano on November 1, 2014
63. ## Calculus

Find any absolute maximum and minimum and local maximum and minimum for the function f(x)=x^3-4x+5 on the interval [0,5). Make sure to prove that these points are max/min values. THis is what I did. f'(x)=3x^2-4=0 x= +/- 2/sqrt3 -2/sqrt3 is outside of

asked by Janet on April 18, 2011
64. ## 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 1.7

asked by Leanna on February 10, 2011
65. ## calculus

2) Let g(s)= t(4−t)^1/2 on the interval [0,2]. Find the absolute maximum and absolute minimum of g(t) on this interval. Enter DNE if the absolute maximum or minimum does not exist. The absolute max occurs at t= . The absolute min occurs at t=

asked by spud on October 17, 2014
66. ## Calculus

A)Find the critical points off on the given interval. B)Determine the absolute extreme values of f on the given interval. F(x)=xe^-x/2 on (0,5)

asked by Mjeed on November 6, 2015
67. ## Calus calculus

a. Find the critical points of f on the given interval. b. Determine the absolute extreme values off on the given interval f(x)= x In(x/5); (0.1,5)

asked by Mjeed on November 6, 2015
68. ## 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

asked by Ace on June 11, 2016
69. ## Calculus

Find any absolute max/min and local max/min for the function f(x)=x^3-4x+5 on the interval [0,5). Made sure to prove that these points are max/min values. This is what I did so far. f'(x)=3x^2-4=0 3x^2=4 x= 2/sqrt3 The -2/sqrt3 is outside of interval so

asked by Janet on April 19, 2011
70. ## Using Matlab

imagine you have a simple calculator that can only do addition,subtraction,multiplication and division. show how you can still use it to calculate the cube root of a given number, ie a^1/3, as follows: a)show that newton raphsons method for solving the

asked by geoff on October 16, 2011
71. ## APCalculus

For the function y=2sin(x)-cos^2(x) on [0, 2pi] find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of inflection Concave up

asked by Sarah on December 9, 2014
72. ## Calculus

determine the absolute extreme values of the function f(x)=sinx-cosx+6 on the interval 0

asked by Sara on February 16, 2015
73. ## 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

asked by weloo_volley on April 21, 2012
74. ## math

Determine all local and global extrema of the function f(x)=x(x−1)

asked by Matt on November 27, 2012

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

asked by sarah on December 7, 2012
76. ## Calc 3

If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to be an absolute maximum. But this is not true for functions of two variables. Show that the function f(x,y)= 3xe^y − x^3 − e^(3y

asked by Becky on October 1, 2012
77. ## 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

asked by amalia on March 15, 2012
78. ## 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

asked by amalia on March 15, 2012
79. ## Calculus

1.Consider the function f(x)= (3/4)x4 - x3 - 3x2 +6x 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) is

asked by Lata on December 14, 2018
80. ## math

Which one of the following statements is true? If f is continuous on (a, b), then f attains an absolute maximum value and f attains an absolute minimum inside the interval (a, b). If f '(x) > 0 on the interval (a, b), then f is decreasing on the interval

asked by Mark on February 3, 2015
81. ## 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.

asked by Jessica Miller on September 4, 2012
82. ## CAL

Consider the function y = 3x5 – 25x3 + 60x + 1. Find the absolute maximum value of y on the interval [0, 3]. What do you get I got -322, but I'm not 100% on how to find the absolute maximum.. so is that right?

asked by Kelly on December 10, 2014
83. ## Calculus

Find the absolute maximum value for the function f(x)=x^2 - 3 , on the interval [-4,0) U (0,3]

asked by Karen on December 27, 2018
84. ## Math

Find the absolute extrema of f(x)= (2x-1)e^(-x) on [0, 00)

asked by Rebekah on April 11, 2013
85. ## AP Calculus

Locate the absolute extrema for f(x) = 3/x-1

asked by Sandy on February 8, 2011
86. ## Calculus

Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2

asked by Sissy on October 20, 2012
87. ## Calculus.......plz help! =)

Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes, and points of inflection for y = -x(x+1)^3

asked by Amy on October 20, 2012
88. ## Calculus

1.Determine the maximum value of the function f(x)= 5^x -x^5 on the interval 0≤x≤≤2. 2. Determine the minimum value of the function f(x)= e^(-x) - 2e^x on the interval -1≤x≤2.

asked by Jessica on March 6, 2012
89. ## Trig

a) Determine the equation of a sine function that would have a range of {y€R|-7

90. ## Calculus

Locate the absolute exterma of the function on the closed interval. y=3-|t-3| , [-1,5]

asked by Luke on October 19, 2011
91. ## Calc

This problem is really weird. I have to explain why MVT applies for f(x)=2sinx-sin2x on the closed interval 7pi,8pi and then determine all values of c in the interval (7pi,8pi) that satisfies the conclusion of the theorem. However, the condition of MVT is

asked by Anoop on December 5, 2016
92. ## Calculus

Hello. I have a few questions from my study guide, that I need to know to study for my test. 1) x^(2/3)*((5/2)-(x) a) determine the ordered pairs of the local extrema of the function. Use the second derivative test. B) determine the ordered pairs of all

asked by Matt on November 10, 2014
93. ## Calculus

Let f(x)=-x^2+3x on the interval [1,3]. Find the absolute maximum and absolute minimum of f(x) on this interval.

asked by Anonymous on August 5, 2013
94. ## calc

let f(x)= -x^2 +3x on the interval [1,3] . Find the absolute maximum and absolute minimum of f(x) on this interval

asked by casey on November 5, 2009
95. ## calc

Let g(s)=1/(s-2)on the interval (0,1). Find the absolute maximum and absolute minimum of g(s) on this interval

asked by casey on November 5, 2009
96. ## Math

What is the absolute extrema of f(x)=sin^2(2x). Intervals [0,pi]

asked by Jill on June 13, 2015
97. ## Calc

Find the absolute maximum and minimum values of each function on the given interval. f(x)=x(e^-x)

asked by Chris on July 17, 2014
98. ## Calculus

Find the absolute maximum and minimum values of the function f(x)=3(x-2)^(2/3)+5 on the interval [1,10]? I'm not sure how to do this. Please help.

asked by Jace on July 11, 2016
99. ## Calculus

On the closed interval, [0, 2*pi], find the absolute maximum of the function f(x)= sin^2(x)

asked by Alex on June 15, 2015
100. ## college calculus 1

Find the local and absolute extreme values of the function on the given interval. f(x)=x^3-6x^2+9x+1, [2,4]?

asked by jeffery on March 17, 2010