show work, neat writting please and thanks! 9) Given: f(x) = x - 7x2 + 4x...
The following function is given. f(x) = x3 – 5x² - 4x + 20 a. List all rational zeros that are possible according to the Rational Zero Theorem. (Use a comma to separate answers as needed.) b. Use synthetic division to test several possible rational zeros in order to identify one actual zero. One rational zero of the given function is (Simplify your answer.) c. Use the zero from part (b) to find all the zeros of the polynomial function....
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...
Include all relevant work please. 22.Using the function f(x) = 2x3 - 3x2 - 18x - 8. Use your graphing calculator to help you. a. List the potential rational zeros. [2] P 9 b. Find one rational zero of f(x) using synthetic division. b. One rational zero [3] c. Rewrite f(x) using the Division Algorithm after finding one rational zero. c. f(x) = [2] d. Find all zeros of f(x). (Do not get them by graphing on your calculator!) Show...
Page 14 4. For f(x) = x3 - 7x2 + 8x + 16, a. Find f(10) using synthetic division. b. Is 10 a zero of the function? Explain in a complete sentence with proper grammar and correct spelling. c. Use synthetic division to determine if x + 1 is a factor of f(x). Explain in a complete sentence with proper grammar and correct spelling. d. List all of the zeros and their multiplicities of the polynomial. List of Does it...
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion
Find all zeros. f(x) = x - 4x +11.r? - 14.1 - 30 .) Find all possible rational veros. b) Find two rational zeros. You must use a synthetic division twice. ) Use the quadratic formula to find two remaining zeros. You must show detail computations using the quadratic formula. Simplify your answers.
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the x-intercept. Show all work. (c) Find the vertical asymptote(s). Show all work. (d) Find the horizontal asymptote. Explain your solution. (e) Does the rational expression have any holes? Explain.
Given: f(x) = x3+ x2+4x find the following:a) Relative extrema b) Table of values c) x-intercepts (if any) d) y-intercept e) Domain f Range g) Interval(s) increasing h) Interval(s) decreasing i) Find All zero s ) Factor completely k) Graph
COLLEGE sity of New York YCS & COMPUTER SCIEN Sing=1 CC BY * Sec (x1" 4. (10 points) Let g(r) = 2.13 - 9.1? + 3x + 4 a List all possible rational roots of according to the Rational Zeros Theorem (b) Factor g completely: (c) Ther-intercepts of the graph of y=g() are: (d) The y-intercept of the graph of y=g() is: (e) Sketch the graph of y = g(ur) in the axes below. + - (1 + 1)(1 -...
7) For f(x) = x - 4x + 9x? - 201 + 20 a) List the potential rational zeros. b) Determine which values from part (a) are the real zeros of the functions. (You need not show work.) 8) Find the complex zeros of each function. a) 2-10 b) x-1=0 c) 4 + 13x2 + 36 = 0 d) 2x + 3x + 2x + 3 = 0