In Exercises 33-38, use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for each given function. 33. f(x) = x + 2x² + 5x + 4 34. f(x) = x + 7x? + x + 7 35. f(x) = 5x - 3x² + 3x – 1 36. f(x) = -2x + x² - x + 7 37. f(x) = 2x* – 5x - x² - 6x + 4 38. f(x) = 4x* - x' + 5x² – 2x – 6

Q: V. Use Descartes; Rule of Signs to determine the number of possible positive and negative real zeros…

A: Explanation of the answer is as follows

Q: 1-For what values of x is the function f(x)=-x2-2x+15  decreasing? A)(-infinity,-2].…

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Q: Which function is equivalent to f(x) = 16x² + 40x + 25? %3D

A: f(x)=16x2+40x+25

Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

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Q: The graph of the function f(x) 4x4 12x3 x + 7x – 3 is shown below. | 30+ 25 20- 15 10- 5 -6 -5-4-3…

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Q: By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up…

A: Since, it is given that by cutting away an x-by-x square from each cornerof a rectangular piece of…

Q: Which function has the same graph as f(x)% 3 214x- 6| + 18? O A (x) = 214x - 6|- 18 O B. (x) = 4|2x…

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Q: What is the inverse of the function y = 9x2 + 12x +4? What domain restrictions are necessary?…

A: Given y = 9x2+12x+4let inverse of y = f-1(x)

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: Determine the domain of each function. x2 - 25 x² - 4 79. f(x) 80. f(x) x - 5 x + 2 x3 x* + 7 81.…

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A: We know if f and g are continuous function then we can write (f+g)(x)=f(x)+g(x) Here f(x)=2x+8…

Q: If a and b are both positive numbers, which statement is true about the x-intercepts of the function…

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Q: 3. Give the function, f(x)=x²+5x-24 Find f(0) a. ut b. Find f(-1) Find f(-3) C.

A: Since you have asked more than one question. So as per guidelines I have done first one for you. If…

Q: Which expression reveals the zeros of the function defined by -x + 7x - 12?

A: We have to find expression reveals the zeros of the function defined by  - x2 + 7x - 12  = - x2 + 3x…

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Q: √x((x^2)-2x). What is the derivate a

A: Here we find the first and second derivatives of given function.