find the constants a and b so the function is continuous on a real line piecewise function: f(x)={5, if x3+ is -5. I don't know how to find the constants

122,972 results
  1. math

    Solve for the constants a and b that make the piecewise function continuous for all real numbers. f(x)= 4-2x-x^2, x1

  2. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of a and b #2. Let h be a

  3. Calculus

    Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is continuous at every

  4. Functions - math

    The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and b ii) Find the

  5. Calculus

    If f(x) is a continuous function defined for all real numbers, f(-1)=1, f(-5)=-10, and f(x)=0 for one and only one value of x, then which of the following could be that x value? a) -6 b) -5 c) -4 d) 0

  6. Math11

    Hello, I don't know how to do this, please help. Thank you. 1).Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 − 3x + 2, [0, 2] Yes, it does not matter if f is continuous or differentiable, every

  7. Math

    The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find g ′(0) and g ″(0) in

  8. calculus

    Find the constant a such that the function is continuous on the entire real line g(x)=x^2-a^2/x-a if x doesn't equal a 6 if x=a

  9. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0

  10. Calculus

    If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true? I. g(x) = 1 at least once II. lim g(x) = g(3.5) as x aproaches 3.5. III. lim g(x) as x approaches 3 from the left = lim g(x) as x approaches

  11. Calculus

    A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

  12. CALCULUS

    For the piecewise function, find the values g(-8), 8(3), and g(8). g(x)={X+6,FOR X3

  13. MATH

    A continuous function, f, has domain all real numbers. If f(-1) = 5 and f(1) = -5, explain why f must have at least one zero in the interval [-1, 1].

  14. math

    Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1.] f(x) = x + 7 if x < 0 2x − 5 if x ≥ 0 1 continuous discontinuous If it is not continuous on its domain, list the points of discontinuity. (If there

  15. math

    For each piecewise function, find the specified function values. g(x)={x+4, for x1 g(-4),g(0),g(1), and g(3)

  16. calculus

    1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (-2, -2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ b. Write an equation for

  17. calculus

    find the constants a and b so the function is continuous on a real line piecewise function: f(x)={5, if x3+ is -5. I don't know how to find the constants

  18. Calculus

    If f(x) is a continuous function defined for all real numbers, f(-1)=1, f(-5)=-10, and f(x)=0 for one and only one value of x, then which of the following could be that x value? a) -6 b) -5 c) -4 d) 0

  19. Algebra (urgent!)

    A line has the equation x = my + b for some real nonzero constants m and b. a. In terms of m and/or b, what is the x-intercept of this line? b. In terms of m and/pr b, what is the slope of this line? I have no idea how to solve this, so please walk me

  20. Continuity Calculus Help

    Find the value of constants c and d that make the function below continuous at x = 4. f(x) = x2 − 3x x < 4 c x = 4 d + x x > 4 c = d = 8 I got d=8, but finding c is giving me trouble.

  21. Calculus

    Find the constants a and b such that the function is continuous on the entire line f(x){7, x is less than or equal to -3 ax+b, -3 is less than x is greater than 4 -7, x is less than or equal to 4

  22. calculus

    Let f be the function defined by f(x)= sqrt(x), 0

  23. Pre-Calc 12

    Let f(x)=a(x-p)^2+q be a quadratic function, where a,p,q are constants and a≠0. f(x) is translated up by k units, translated right by c units, and then take a reciprocal of the translated function. Define g(x) be the function after performing all the

  24. Math (Semicircle)(Pre-calc)

    goo.gl/photos/e6Ks3v4Qqj177Nun6 The graph below is made from two semicircles. The domain of the function in the graph is [−8,8] [-8,8] . Find a piecewise formula for the function f(x) f(x). Help please, I already on my last attempt and any help is

  25. Algebra

    Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x

  26. mathematics

    Is the following piecewise function continuous at x = 3? Y = 2x3 − 5, for x > 3 Y = 5x2 + 4, for x ≤ 3

  27. math

    PLEASE HELP Find the range of the following piecewise function. [27,3) (-22,3] (27,3] [-22,3)

  28. AP CALC. AB

    1.Locate the discontinuity of the function y=1/(1+sin x) 2.Suppose that f is a continuous function defined for all real numbers x and f(-5)=3 and f(-1)=-2 . If f(x) = 0 for one and only one value of x, then which of the following could be x?

  29. Math

    Find the constant a such that the function is continuous on the entire real line. f(x) = 5x^2, x ≥ 1 ax − 3, x < 1 ???Please, thnks.

  30. Calculus

    For the following function, find the values of the constants 𝑎 and 𝑏 for which the function is continuous, but not differentiable. 𝑓(𝑥)={𝑎𝑥+𝑏,𝑥>0 & sin𝑥,𝑥≤0.

  31. PLEASE HELP! college algebra

    Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function

  32. math-calculus

    the absolute value function g(x) = |5-x| can be written as a piecewise function. the piecewise function which represents g(x) is this have to be g(x) = x-5 if x be greater to or equal to five. and the negative piece have to be 5-x. does it matter if i

  33. pre calc

    The following piecewise function gives the tax owed, T(x), by a single taxpayer on a taxable income of x dollars. T(x) = (i) Determine whether T is continuous at 6061. (ii) Determine whether T is continuous at 32,473. (iii) If T had discontinuities, use

  34. AP Calculus

    Can someone check my answers: 1) Use geometry to evaluate 6 int 2 (x) dx where f(x) = { |x|, -2

  35. calculus

    find the constants a and b so that the function is continuous on the entire real line. F(x)= 3, x≤-1 ax+b, -1

  36. Math - Continuity

    Determine the constants a and b so that the function f is continuous on the entire real line: f(x) = 2 , x=

  37. calculus

    find the constants a and b so that the function is continuous on the entire real line. F(x)= 3, x≤-1 ax+b, -1

  38. Calculus

    I'm having a little trouble with this problem...it would be great if you could point out where I'm going wrong. Hours of Daylight as a Function of Latitude. Let S(x) be the number of sunlight hours on a cloudless June 21st, as a function of latitude, x,

  39. Math -- Calculus

    Hours of Daylight as a Function of Latitude Let S (x) be the number of sunlight hours on a cloudless June 21, as a function of latitude, x, measured in degrees. (a) What is S (0)? (b) Let x0 be the latitude of the Arctic Circle (x0 ≈ 66◦ 30′ ). In

  40. Math

    Create a function that closely gives the graph given in the link. 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 did to create your function. b. List your

  41. MATH

    A continuous function, f, has domain all real numbers. If f(-1) = 5 and f(1) = -5, explain why f must have at least one zero in the interval [-1, 1].

  42. Calculus

    A(x)= |4-3x| A'(x)={ ,if x4/3 I have to try to find the derivative of this function using a piecewise function and I'm a bit confused about how to do so. Could someone explain how?

  43. calculus

    1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (-2, -2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ b. Write an equation for

  44. Calculus

    consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous. I say continous, am I wrong? If I am wrong what interval is it

  45. College Algebra

    A clothing store is having a sale on t-shirts: Buy 4 shirts at full price, then every subsequent shirt is half off. The total amount a customer spends on x shirts can be modeled by the piecewise function below: T(x) = 28x for 0 ≤ x ≤ 4 14x + 56 for x >

  46. Calculus

    If f(x) is a continuous function, find the constants a and b such that f(x) = { -x -3

  47. math -- Calc

    1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 hours. a) For 0

  48. AP CAlc. AB Please helppp!!

    f(x)=|x|+1 Let A(r) be the enclosed by the x axis, the line x=-2, the graph of the function f, and the line x=r for any r=>-2 A) Write A(r) as a piecewise function with its joints at r=0 Please walk me through each step i am really confused!!

  49. 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

  50. Calculus

    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

  51. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0

  52. Calculus

    consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous. The function is not continous and it is not continous on 7

  53. calculus

    find the tangent function is continuous on the interval (-90,90) but is not uniformly continuous

  54. Math

    Problem 3. Probability Density Functions 2 points possible (graded, results hidden) For t∈R, define the following two functions: f1(t)=1/√2πexp(−max(1,t^2)^2) and f2(t)=1/√2πexp(−min(1,t^2)^2). In this problem, we explore whether these

  55. Calculus

    How do I find local minimums based on f'(x) with line segments? I have a picture of a graph with a the points (-4,0), (-3,2.5), (0,0), (2,2), and (5,0). Here is the question: The graph of f ' (x), the derivative of f(x), is continuous for all x and

  56. algebra

    Find the domain and range of the function. 1. f(x)= x^2-x I got: Domain= All Real Numbers Range= All Real Numbers > -1 (with a line under the greater than sign) 2. f(x)= 1-x^2 I got: Domain= All Real Numbers Range= All Real Numbers < 1 (with a line under

  57. calculus

    given the following piecewise function x+11 for -9

  58. precalculus

    (A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=

  59. Calculus

    A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

  60. math

    Each of the following statements is false. Provide why the statement is false. 1) Every function that is continuous at x=a is differentiable at x=a. 2) The tangent line to y=f(x) when x=x0 is given by y=fprime(x0)x+f(x0). 3) The linerization of a function

  61. Math--Calculus

    Let y = f(x) be the continuous function that satisfies the equation x^4 - (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2. (a) Find and expression for y'. (b) Write an

  62. calculus

    Find the constants a & b such that the function f(x)={2 if ≤ -1 {ax+b if -1

  63. Calculus

    f'(x) if x is less than or greater than 1 Let F'(x)={ g'(x) if x>1 Where f'(x)=x/(x^2-2)^2 and g'(x)=3x-4 A. If f(1)=3/2, find f(x) B. If F(x) is continuous at x=1, find g(x). C. Express F(x). D. If F(x) is continuous at x=1, determine if F(x) is

  64. Calculus

    find the value of a, if it exists, such that the following function is continuous at X = 2. piecewise function f(x)={x^2-3x+1, if x>2; a, if x=2; 3-2x, if x

  65. Algebra

    Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function

  66. help college algebra

    given the following piecewise function f(x) = -x+1 for x

  67. calculus -- PLEASE HELP!

    1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 hours. a) For 0

  68. Calculus-Help Please

    Find a function f(x), perhaps a piecewise function that is defined but not continuous on (-infinity, infinity) for which the function lf(x)l is both defined and continuous on (-infinity, infinity). f(x)= lf(x)l =

  69. AP Calc. AB

    1.Which function is NOT continuous everywhere? A.y=(4x)/(x+1)^2 B.y=|x| C.y=(x)/(x^2+1) D.y=√(x^2+1) E.y=x^(2/3) 2.State the domain f(x)= √((x+6)) sinx 3. Let h(x) {(sin2x)/x, if x ≠ 0 {a, if x=0 find the value of a so that hi s continuousat x=0 a.

  70. Calculus

    I need help creating an equation for a piecewise defined function with two different rules, that is continuous but not differentiable at the point where the rules change, x=3. Please help to justify the answer.

  71. Help me check my calculus questions

    Can someone check my answers: 1) Use geometry to evaluate 6 int 2 (x) dx where f(x) = { |x|, -2

  72. College Algebra

    Create a piecewise function of the following scenario where Upper D left-parenthesis t right-parenthesis is the total distance walked (in miles) as a function of time t (in minutes): “You begin a walk from your home at a fast pace of 3 miles per hour for

  73. Math (Calc.)

    1.Use the IVT to explain why the following is true. If f continuous on (a,b) and f(x) does not equal to zero for all x in the interval (a,b), then f(x) > for all x in the interval (a,b) or f(x) < 0 for all x in the interval (a,b). 2. You are given that a

  74. Calculus

    Find all values of a, B so that the function f(x)=1 if x>3, f(x)=ax-10 if x

  75. Math

    Assume that f is a continuous function from the real numbers to the real numbers such that for all numbers x,y, and a it is true that f(x+y)=f(x) + f(y) and that f(ax)=af(x). Further assume that f(1) = pi. Find f'(-1). Please explain your reasoning. I am

  76. Math

    A continuous function f has domain of all real numbers. If f(-1) = 5 and f(1) = -5, explain why function f must have at least one zero in the interval [-1, 1]

  77. Math

    Can someone please help me with piecewise functions. I know what they are but when it gets to advanced i have ttrouble. s(x)= /x-2/ + /x-3/ + /x+1/ (/ / = 'modulus') Write as a piecewise defined function. Have no idea tbh. Thanks

  78. using a ti 89

    i am attempting to graph the piecewise function y=(-2/3)x-6 if -9

  79. Calculus

    consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous. Is the t value 0

  80. math

    Find the domain and range for y=x^2+9. Is the answer all real numbers? How would you enter that in interval notation? From Googling the definition of real numbers, I now understand that the infinity sign would not be included. For a continuous function you

  81. algebra

    Suppose f(x)=Ax+B for real constants A and B. If f(60)=70 and f(72)=79, find k such that f(k)=k. PLEASE HELP :] Ok we have f(x)=Ax+B which is a line. We also know (1) f(60)=70 which means A*60+B=70 (2) f(72)=79 " " A*72+B=79 Which means A*12=9 if we

  82. Calculus (Limits)

    If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true? I. g(x) = 1 at least once II. lim g(x) = g(3.5) as x aproaches 3.5. III. lim g(x) as x approaches 3 from the left = lim g(x) as x approaches

  83. Math

    For t∈R, define the following two functions: f1(t)=12π−−√exp(−max(1,t2)2) and f2(t)=12π−−√exp(−min(1,t2)2). In this problem, we explore whether these functions are valid probability density functions. Determine whether the function f1

  84. Math

    For this equation, x is real, b and c are each real constants, and b is less than c. Find the possible values of y so that y = (x^2-bc)/(2x-b-c)

  85. calculus help

    Suppose that f'(x)= (2x^2-5x-12)/(3x^2-7x+2) and that f(x) is continuous for all real numbers x. a) Do a sign diagram to list the values of x where f(x) has local maximums and local minimums. In addition, list the intervals where f(x) is increasing and

  86. Calculus

    COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the x -value where the function is not continuous. Is is continous? If not? what interval then?

  87. Calculus

    COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the x -value where the function is not continuous. Is is continous? If not? what interval then?

  88. Calculus

    COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the x -value where the function is not continuous. Is is continous? If not? what interval then?

  89. Math / Algebra

    Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?) Answer: True. 2. Does the function y = |x-2| have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it

  90. mathamatics

    on december31, 1995, paul invested $2000 in a stock. his stocker gains 20% ever odd month (jan, march, may..) and loses 15% every even month (feb, april, june...) it says write a piecewise defined function for the value of the stocker n months after the

  91. Calculus

    Piecewise function problem. Let f(x)={ax^2+1/3, x is greater than or equal to 1; bx-10/3, x

  92. math

    You are given that a function f is defined and continuous at every real number x except x=2. Also, f(x)=0 precisely for x=1 and 7. Finally, you know that f(-3)=4, f(1.5)=2, f(4)= -3, and f(10)=6. Solve the inequality f(x) > 0.

  93. math

    express y=0.1(1000)^x in the form lg y =mx+c ,where m and c are constants ,and x is a function of x . Determine the constants m and c and the function x .

  94. math

    Let f be he real-valued function defined by f(x)=sin^3x+sin^3|x| (a) find f'(x) for x>0 (b) find f'(x) for x

  95. math

    1. (1 pt) Let g(y) = 8y2 + 13y + 5. A function f is known to be continuous on ( −∞, ∞), to satisfy g ◦ f (x) = 0 for all real x and it is known that the value f (8) is not equal to −1. You have enough information to determine f precisely.

  96. Calculus

    consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous. I say continous, am I wrong? If I am wrong what interval is it

  97. precalculus

    (A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=

  98. algebra

    For given the following piecewise function find the domain and range F(x) ={ 2x + 4 for x< -3} {-1 for -3-¡Ü x ¡Ü4} {- x 1 for x > 4}

  99. math

    how do i find the rule of a piecewise linear function?

  100. calculus--please help!!

    given the following piecewise function F(x)={x+11 for -9¡Üx

Pages

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20