For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each
For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph. (G) Determine the and behavior; that is: find the power function that the graph off resembles for large values of |x|. x): 2(x4}(x+ 5F For the polynomial function f(x) = 6 (x + 4x - 12x. Answer parts (a) through (e). [Hint: First factor the polynomial.]Practice problem 1: For the polynomial function t(x) =6 (x* + 4) "(x-5) answer the following questions. For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the (@) List each real zero and its multiplicity. graph crosses or touches the x-axis at each x-intercept (c) Determine the maximum number of turning (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. points on the graph. (d) Determine the end behavior, that is, find the power function that the graph of (c) Determine the maximum number of turning points on the graph resembles for large values of |X. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x]. 1()=(x-9/(x +512 For the polynomial function I(x) = (4x2+9)(x2+7), answer the following questions. For the polynomial function below. (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept (c) Determine the maximum number of tuming (a) List each real zero and its multiplicity. points on the graph. (d) Determine the end behavior, that is, find the power function that the graph of f (b] Determine whether the graph crosses or touches the x-axis at each x-intercept resembles for large values of | x. [c) Determine the maximum number of turning points on the graph. (d) Dotormino the and bohavior, that is, find the power function that the graph of f resembles for large 1(x) = - 9x2(x2-2) values of x Determine the following for the following problem. Graph the polynomial function f(x) = 12x" + 64x* + 64x . Answer parts (a) through (e). Analyze the polynomial function f(x) = (x + 1)(x - 4)(x + 6) using parts (a) through (e). Analyze the polynomial function f(x) = (x +4)"(x - 7)" using parts (a) through (e). Analyze the polynomial function f(x) = 2x (x - 9) (x + 4) using parts (a) through (e). Analyze the polynomial function f(xx) =x (x - 5) (x +3) using parts (a) through (e). Analyze the polynomial function f(x) =x" -x. Answer parts (a) through (e). [Hint: First factor the polynomial.] Analyze the polynomial function f(x) =x*+4x - 12x. Answer parts (a) through (e). [Hint: First factor the polynomial.] Graph the polynomial function f(x) = 12x + 64x" + 64x . Answer parts (a) through (e).Practice problem 1: For the polynomial function f(x) =6 (x2 + 4) (x -5)3 answer the following questions. For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the (a) List each real zero and its multiplicity. graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f (c) Determine the maximum number of turning points on the graph. resembles for large values of |x|. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|. f(x) = (x-9)(x+5)2 For the polynomial function f(x) = 4 (4x2 + 9) 2 (x2 + 7) , answer the following questions. For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning (a) List each real zero and its multiplicity. points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. resembles for large values of |x|. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior, that is, find the power function that the graph of f resembles for large f(x) = - 9x2 (x2 - 2) values of x|.Determine the following for the following problem. (a) Determine the end behavior of the graph of the function. The graph of I behaves like y= - 4x* for large values of |x]. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) isfare - 4,3 (Simplify your answer. Type an integer or a fraction. Use a comma to ed. Type each answer only ance.) The y-Intercept is 432 (Simplify your answer. Type an integer or a fraction.} (c) Determine the zeros of the function and r the graph crosses or touches the x-axis at each x-intercept. The zero(s) of f islare - 4,3. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero is a zero of multiplicity 1. so the graph off crosses the x-axis atx= -4. The greater zero is a zero of multiplicity 3'. so the graph of f crosses the x-axis at x = 3 (d) Determine the maximum number of turning points on the graph of the function. 3 (Type a whole number) Graph the polynomial function f(x) = 12x" + 64x* + 64x . Answer parts (a) through (e). Analyze the polynomial function f(x) = (x + 1)(x - 4)(x + 6) using parts (a) through (e). Analyze the polynomial function f(x) = (x + 4)"(x -7) using parts (a) through (e). Analyze the polynomial function f(x) = 2x (x -9) (x + 4) using parts (a) through (e). Analyze the polynomial function f(x) = x (x - 5) (x +3) using parts (a) through (e). Analyze the polynomial function f(x) = x" - x. Answer parts (a) through (e). [Hint: First factor the polynomial.] Analyze the polynomial function f(x) =x + 4x - 12x. Answer parts (a) through (e). [Hint: First factor the polynomial.] Graph the polynomial function f(x) = 12x" + 64x* + 64x . Answer parts (a) through (e)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance