# use the rational theorem to select the values that are possible zeroes of the function f(x)=6x^3-2x^2+x+3 select all that apply -3 -2/3 3/2 6

34,748 results
1. ## math

Let f be the function with f(0) = 1/ (pi)^2, f(2) = 1/(pi)^2, and the derivative given by f'(x) = (x+1)cos ((pi)(x)). How many values of x in the open interval (0, 2) satisfy the conclusion of the Mean Value Theorem for the function f on the closed

2. ## Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with rational coefficients has the

3. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. a) No, the theorem does not apply b) Yes, x=16/9 c) Yes, x=1/4

4. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the x-coordinates of the point(s) guaranteed by the theorem a) No, the Mean Value Theorem for Integrals does not apply b) Yes, x=4/3

5. ## math;)

Which of the following statements about the function f(x)=sec(x) are true? Select all that apply. a. f(x) has no zeroes. b. f(x) has a period of 2pi.***** c. f(x) has an amplitude of 1. d. f(x) is symmetric about the origin. e. f(x) has asymptotes at

6. ## Math

Q.1)If one zero of the polynomial 3x2-kx-2 is 2 find the other zero.allso find the value of k. Q.2)If sum of the zeroes of the polynomial x2-x-k(2x-1) is 0,find the value of k Q.3)If 2 and 3 are the zeroes of the polynomial 3x2-2kx+2m find the values of k

7. ## Pre Algebra

1.Which of the following numbers is rational? A \frac{4}{5} B √27 C 4.02002000200002... D √31 2.What type of number is shown below? 0.3133113331... A repeating decimal B rational C irrational D terminating 3.Select all the rational numbers from the

8. ## Calculus

Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function. If there are multiple values, separate them with commas; enter N if there are no such values. f(x)= x^2-10x+3, [0,10]

9. ## Calc

Given function f defined by f(x) = ( 1- x)³. What are all values of c, in the closed interval [0,3], that satisfy the conditions of the Mean Value Theorem?

Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions

11. ## Math

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. (Select all that apply.) f (x) = sin(x), [0, 2π] If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0. (Enter your

12. ## Gr.11 - Rational functions graphing.

1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. 3. Identify a

13. ## 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

14. ## Math

Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number, he must prove it is rational by writing it as a quotient of two

15. ## calculususe the rational zeros theorem to list the

use the rational zeros theorem to list the potential rational zeros of the potential function. Do not attempt to find the zeros. f(x)=2x^5-x^3+8x^2+52

16. ## Algebra

Come up with a new linear function that has a slope that falls in the range -1

17. ## Use the rational zeros theorem

Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28

18. ## Algebra 1

Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?

19. ## Math

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. -2x^4+4x^3+3x^2+18

20. ## College Algebra

Find all the zeros of the polynomial function by using the Rational Zero Theorem, Descartes Rule of Signs and Synthetic Division. f(x)=x^3-3x^2-33x+35

21. ## Calculus

Using the function y= 1/3x^3 a) Verify that the function satisfies the hypotheses of the Mean Value Theorem on the interval [-3,3]. b) Then find all numbers c that satisfy the conclusion of the Mean Value Theorem.

22. ## mathematics

Without graphing the function f(x)=(2x+1)(x-4)^2 determine: a) the degree of the function b) the type of polynomial function c) the leading coefficient d) the zeroes e) the y-intercept f) the end behaviors

23. ## Algebra

Come up with a new linear function that has a slope that falls in the range -1

24. ## calculus

given the function f(x)= x^4 -3x^3 -2x^2 + 5x + 1 use the intermediate value theorem to decide which of the following intervals contains at least one zero, select all that apply (4 answers) a) [-2,-1] b) [-1,0] c) [0,1] d) [1,2] e) [2,3] f) [3,4]

25. ## Math

Find all possible rational roots using the rational root theorem. x^4 - 3x^2 + 12 = 0 Plus/minus 1, 2, 3, 4, 6, 12?

26. ## calculus

use the rational theorem to select the values that are possible zeroes of the function f(x)=6x^3-2x^2+x+3 select all that apply -3 -2/3 3/2 6

27. ## maths

For which values of a and b , are the zeroes of q(x)=x3+ 2x2+a also the zeroes of the polynomial p (x)= x5 -x4-4x3+3x2+3x+b? Which zeroes of p (x) are not the zeroes of q (x)?

28. ## math

Given that 2𝑥 – 1is a factor of 𝑥^3 -3x^2 + bx - b which theorem is used to determine the value of b algebraically. Then, list the possible values of the rational zeros of the function.

29. ## Algebra

Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -1, 3, 9, 27 Factors: 3, -1, 3 +-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)

30. ## Math terminal zeroes

If a number ends in zeroes, the zeroes are called terminal zeroes. For example, 520,000 has four terminal zeroes, but 502,000 has just 3. Let X equal the product of all natural numbers from 1 to 20. N = 1 * 2 * 3... *20. How many terminal zeroes will N

31. ## Calculus

For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine where the function is increasing and decreasing, where it is concave up and concave down, and any points of inflection. I understand this is using the first and second derivative tests,

32. ## math

Use the rational zero theorem, Descartes rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the following equation: 4x^(3)-17x^(2)+16=0

33. ## math-intergral upper bound

This one has me stumped. Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1 So by the rational root theorem, 1 and -1 might be roots. by using synthetic division, i get the following values: for f(-1)=-1 f(0)=1 f(1)=1 f(2)=5

34. ## algebra

list all the possible rational zeros of f using the rational zero theorem. then find all the zeros of the function. 1. f(x)=x^2-6x+5 2. f(x)=x^3+x^2-10x+8

35. ## math- mean value theorem

Hi I am having some trouble with these few quetions I would appreciate some help so that I can understand them better. 1) What, if anything, does the mean value theorem guarantee for the given function on this interval? a) f(x) = x^2 - 2x + 5 on [1,4] --I

36. ## math

Obtain all the zeroes of the polynomial of p(x) if sum of all the polynomials are given : (1). P (x) = x^4-8x^3+23x^2-28x+12 if 2 zeroes are 1 & 2.(2). p (x)=96x^4-128x^3+62x^2-13x+1 & 2 zeroes are 1/2 & 1/4

A rational function has the form f(x)=ax^2 / x^n -5 where a is a non-zero real number and n is a positive integer. a) Are there any values of a and n for which the function above will have no vertical asymptotes. Explain why by providing examples and

38. ## algebra

using the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-x-3=0 possible answers -3,-1,1,3 1,3 -33 no roots

39. ## Math-Algebra II to be exact

Come up with a new linear function that has a slope that falls in the range −1< m

40. ## algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù-28©ø-48x©÷-8x+7 if more than one zero, separate with commas. Write exact

41. ## Algebra 1

Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?

42. ## Calculus

The function f(x) = 5x sqrt x+2 satisfies the hypotheses of the Mean Value Theorem on the interval [0,2]. Find all values of c that satisfy the conclusion of the theorem. How would you use the MVT? I tried taking the derivative, in which resulted in

43. ## algebra

Find the zeroes of each function. State the multiplicity of multiple zeroes. y=(x+3)^3 y=x(x-1)^3 I know you're supposed to factor them out, but I'm really not sure how to. Thanks. The equations are already factored out. For the first one, y is zero at x=3

44. ## algebra

3x^4 + 5x^2 - 2 = 0 give imaginary and real roots rational roots theorem factors of (+-)p/q are possible rational zeros of function f where the coefficients of f are integers. how do you go about solving this?

45. ## Algebra

I posted this problem last night and some one told me I was wrong. Today, two of my group members have the same answers for this problem. Can some one tell us what or where we went wrong? Using rational zero theorem find all rational zeros

46. ## calculus 1

f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function is increasing 6)

47. ## math

verify that the function satisfies the hypotheses of the mean values theorem on the given interval. then find all numbers c in the given interval that satisfy the conclusion of the mean value theorem. f(x)=2x/x4 [0,3]

48. ## pre-cal

Let f(x) be polynomial function. Explain in your own words how to use the Rational Zero Theorem to find the real zeros of f (x).

49. ## Precalc

Three zeroes of a fifth degree polynomial function are 1/3, 4 - 6i, and -2 + 11i. Determine the remaining zeroes of the function. 4 + 6i, -2 - 11i -1/3, 4 + 6i, 2 + 11i -4 + 6i, 2 - 11i 3, 4 + 6i, -2 - 11i Can I have some guidance for this please? I am

50. ## calc

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. f(x)= x sqrt(x+21) , [-21,0] If there is more than one solution separate your answers

51. ## Factor Theorem Math

Use the Factor Theorem to determine the rational zeros of this function. Then use other methods to determine any other zero of this function. 4x^4-x^3-11x^2-2x+6 (I already did p/q and found a total of 16 possible zeros. I synthetic divide all of them and

52. ## Math

True or false Some rational numbers are integers. The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function

53. ## Calculus

Show that Rolle's Theorem applies to the given function for the given values of x: x=-1 and x=4 for f(x)=3x-x^2+2.

54. ## Math 140

p(x)=(5x^8)-(x^2)+100x-3 Write all possible rational zeroes, please show how you arrived at the answer. I just came up with this problem hope it works

55. ## Algebra 2B

Come up with a new linear function that has a slope that falls in the range −< < 1 0 m . Choose two different initial values. For this new linear function, what happens to the function’s values after many iterations? Are the function’s values getting

56. ## math

List all possible rational zeros of... h(x)= 2x to the (4th power) - 5x (to the third power) + 3x (to the 2nd power) + 4x - 6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides

57. ## Math

18) Find all numbers c that satisfy the conclusion of the Mean Value Theorem for the following function and interval. Enter the values in increasing order. f(x)=2x6x+12,[1,4]

58. ## Calculus

the function of f(x) = x + sin (x) on the interval [0,b] i have to find b. two values of c that are given are (4.6658, 1.6174) that satisfy the mean value theorem on [0,b] i got b as +/- 3.29 but it has to be an integer so i think that's wrong. ' can

59. ## 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

60. ## algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. Write exact

61. ## pre-calculus

Use the rational root theorem with polynomial division if needed to find all the zeroes of: P(x)=2x^4-3x^3+3x^2+5x-3.

62. ## math

Find the zeroes of the function y=3x^3-3x So I factored that to y=3x(x^2-1) but am not sure about the zeroes. I know that 0 and 1 are zeroes, but am not sure how to get a zeroe from x^2. Thanks. Factor it again to get 3x (x+1)(x-1) The zeroes are where any

63. ## algebra

Use the rational zero theorem to list all possible rational zeros for the given function f(x)=x^3-4x^2-19x-14

64. ## math

verify that the function satisfies the hypotheses of the mean values theorem on the given interval. then find all numbers c in the given interval that satisfy the conclusion of the mean values theorem f(x)= 2x/x-4 [0,3]

65. ## Math-precalc

Is it possible to find a rational function that has x-intercepts (-2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0? The horizontal asymptote and the x-intercepts parts stump me. If you can't reach y=0, then how can you get

66. ## pre-calculus

List the possible rational roots of each equation. Then determine the rational roots. 6x^4+35x^3-x^2-7x-1 The answer in the back of the book is: -1/3 and 1/2 I know that I'm supposed to use Descartes rule of signs. I found that there was 1 positive zero

67. ## Math

Three zeroes of a fifth degree polynomial function are ⅓,4-6i, and -2+11i. Determine the remaining zeroes of the function.

68. ## algebra

use the rational zero theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=2x^7-x^5+8x^4+52

69. ## Math

Will the values described in each situation be rational or irrational? Select Rational or Irrational to describe each situation.I put "R" and "I" to represent the choices I choose. the length of a rectangle with a rational area and irrational width :R the

70. ## calculus

Show that the function f(x)=4x^3−15x^2+9x+8 satisfies the three hypotheses of Rolle’s theorem on the interval [0,3]. Then find the values of c on the interval [0,3] that are guaranteed by Rolle’s theorem. Give your answer as a set of values, e.g.,

71. ## Calculus

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(x)=0. f(x) = x^(2/3) - 1 [-8,8] I plugged in both values and found out that

72. ## alg 2

list all the possible rational zeros of f using the rational zero theorem. Then find all the zeros of the function. f(x)=x^3+4x^2+9x+36

73. ## College Algebra 105

use the rational zero's theorem to list the potential zero's of the polynomial function. Do not attempt to find the zero's f(x)=-169x^7-x^6+x+13 and then the second part is find the potential rational zero's.

74. ## Algebra- functions

How do I know how many possible zeroes of a function there are? I have a graph and i have to find how many zeroes there are.

75. ## Math Calculus

The Image Theorem: The image theorem, a corollary of the intermediate value theorem, expresses the property that if f is continuous on the interval [a, b], then the image (the set of y-values) of f on [a,b] is all real numbers between the minimum of f(x)

76. ## Calculus

Verify the hypothesis of the mean value theorem for each function below defined on the indicated interval. Then find the value “C” referred to by the theorem. Q1a) h(x)=√(x+1 ) [3,8] Q1b) K(x)=(x-1)/(x=1) [0,4] Q1c) Explain the difference between the

77. ## math

use the rational zero theorem to find all the zeros of the polynomial function. Use the factor f over the real numbers. f(x)=x^4+2x^3-7x^2-8x+12 x= f(x)=

78. ## College Algebra

Use rational root theorem and the factor theorem to help solve the following equation X4-2x3-13x2+38x-24=0

79. ## Math

Which of these rational numbers does the Rational Roots Theorem say can't be a solution to 14x7 + 13x5 − 19x4 + 7x2 − 6x − 21 = 0? A. 3/2 B. 2/7 C. -1 D. -(1/2)

80. ## algebra

use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5

81. ## Maths

Let f be a function such that f(−6)=−6, f(6)=6, f is differentiable for all real values of x and −1≤f'x≤1 for all real values of x. Prove that f(x)=x for all −6≤x≤6 I tried applying the mean value theorem here but I'm not sure where to

82. ## Calculus

Let f be a function such that f(−6)=−6, f(6)=6, f is differentiable for all real values of x and −1≤f'x≤1 for all real values of x. Prove that f(x)=x for all −6≤x≤6 I tried applying the mean value theorem here but I'm not sure where to

83. ## algebra

1)A.f(x)= x^2+4 B.f(x)= x^2-4x^2+4x-16 C.f(x)= x^2+4x^2+4x+16 D.f(x)= x^2-4x^2-4x+16 2)A.+-1,+-2,+-3,+-6 B.0,+-1,+-2,+-3,+-6,+-1/3,+-2/3 C.+-1,+-2,+-3,+-6,+-1/3,+-2/3 D.+-1,+-3,+-1/6,+-1/3,+-1/2,+-3/2 4)I don't know what they mean either but this is all it

84. ## Math

Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number, he must prove it is rational by writing it as a quotient of two

85. ## Calculus

Show that Rolle's Theorem applies to the given function for ht eg oven values of x: x=-1 and x=4 for f(x)=3x-x^2+2

86. ## Algebra

Use the Rational Theorem to list the possible rational roots. f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5

87. ## precal

Create a rational function that has a polynomial function that is similar. The rational function must have a vertical asymptote. thanks for any help.

88. ## calculus

Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f'(c) in the conclusion of the mean value theorem for the given function and interval f(x)= x^(2/3) , [0,1]

89. ## Algebra

Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28

90. ## mathematics

Identify whether the given y=5+x12-3x x2+2x+5 is a: a. Rational Equation b. Rational Inequality c. Rational Function d. None of these

91. ## Javascript

I would like the function test to get the input from the user and display the like the counter function and to display if it passed or not. var negatives =0; var zeroes =0; var positives=0 ; function counter(array){ var i=0; for(i=0;i 0) : positives ++;

92. ## Precalculus

I'm HOPING this is the last problem I need help on.. :-/ List the possible rational zeros of f using the rational zero theorem. f(x) = 2x^3 - x^2 + 5x + 6 I applied the rational zero theorem, but none of the factors worked :(

93. ## Pre-Calc

A slice 1 unit thickness is removed from one see of a cube. Use the rational zeroes theorem and synthetic division to find the original dimensions of the cube, if the remaining volume is 48 cm^3 v= x^3 v=x*x*x x=(x-1)*x*x 48=(x-1)*x*x

94. ## Algebra

Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros

95. ## Math

Some rational numbers are integers. True or false The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function.

96. ## Math

find the actual rational zeroes for f(x)=4x^3-16x+17x-5

97. ## math

verify the relationship between the zeroes and the coefficient in the polynomial f (x)=root 4x square +5x-2 root3 if alpha and beta are the zeroes of the polynomial x*2+x-2 . Find the values of 1/alpha -1/beta. Find the value alphacube betasquare +

98. ## Math

16) Consider the function f(x)=2x3−6x2−90x+5 on the interval [−6,7]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists at least one c in the open interval (−6,7) such that f′(c) is

99. ## ALGEBRA 2

Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots. x^3 + 2x^2 + 3x + 6 = 0 (8 points)

100. ## math

Verify that f(x) = x^3 − 2x + 6 satisfies the hypothesis of the Mean-Value Theorem over the interval [-2, 3] and find all values of C that satisfy the conclusion of the theorem.