9. Given f(x) = x4 + 4x3 + 2x2-8-8, a) How many zeros does f(x) have...
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
A polynomial function and its graph are given. P(x) = 2x4 – 2x2 - 6x2 + 2x + 4 LLLL X 3 (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (Enter your answers as a comma-separated list.) x= -1,1, - 1, ,2 2 (b) From the graph, determine which of the possible rational zeros actually turn out to be zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x= -1.1.2
show work, neat writting please and thanks! 9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
Question 19 Given that f(x) = - x(x - 2)2(x + 4). Determine all zeros. Question 20 Find all possible rational zeros of f(x) = - 3x + 2x +9, using Rational Zero Theorem ONLY. (You are not asked to find the actual zeros of the function. )
4. Describe how to find the possible rational zeros of a polynomial function. Use the function f(x)-2x +13-9x2 a. List all possible rational roots b. Use Descartes's Rule of Signs to determine the possible number of positive and negative f(x) = 2t to answer the following. real roots c. Use synthetic division to test the potential rational zeros and find an actual zero d. Use the quotient from part(c) to find all the remaining zeros e. Rewrite f(x) in completely...
How many and of which kind of roots does the equati f(x) = x3 + 2x2 + 4x + 8 have? A. 2 real; 1 complex B. 3 real C. 2 real; 2 complex D. 1 real; 2 complex
9. Given f(x) = 2x4 - 15x + 3x2 - 14x + 25, determine all of the possible rational zeros of f(x) by filling in the appropriate information below. [5 Points] p: +{ q: +{ Possible Rational Zeros of f(x) Max Number of Real Zeros: Max Number of Turning Points: x2+x-12 10. Use the rational function R(x) = to answer the questions below. [10 Points) x2-16 For parts (a-c) determine the equation of each asymptote if it exists. For part...
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
(a) Find the zeros. (b) Sketch the graph. (c) How many local extrema? 3) f(x) = x6 + 25 – x4 – x3
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.