Menu Bartleby Search Message Q&A Sign in Math Algebra Q&A Library Analyze the polynomial function f(x)=3(x+4)(x4)3 using parts (a) through . Fill in the ? question marks (a) Determine the end behavior...

Menu Bartleby Search Message Q&A Sign in Math Algebra Q&A Library Analyze the polynomial function f(x)=−3(x+4)(x−4)3 using parts​ (a) through​ €. Fill in the ? question marks ​(a) Determine the end behavior of the graph of the function. The graph of f behaves like y= ? for large values of |x| ​(b) Find the​ x- and​ y-intercepts of the graph of the function. The​ x-intercept(s) is/are ? ​(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only​ once.) The​ y-intercept is ? ​(Simplify your answer. Type an integer or a​ fraction.) ​(c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the​ x-axis at each​ x-intercept. The​ zero(s) of f​ is/are ? ​(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 ?, so the graph of f touches/crosses Analyze the polynomial function f(x)=−3(x+4)(x−4)3 using parts​ (a) through​ €. Fill in the ? question marks ​(a) Determine the end behavior of the graph of the function. The graph of f behaves like y= ? for large values of |x| ​(b) Find the​ x- and​ y-intercepts of the graph of the function. The​ x-intercept(s) is/are ? ​(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only​ once.) The​ y-intercept is ? ​(Simplify your answer. Type an integer or a​ fraction.) ​(c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the​ x-axis at each​ x-intercept. The​ zero(s) of f​ is/are ? ​(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 ?, so the graph of f touches/crosses Question Analyze the polynomial function f(x)=−3(x+4)(x−4)3 using parts​ (a) through​ €. Fill in the ? question marks

(a) ​Determine the end behavior of the graph of the function. The graph of f behaves like y= ? for large values of |x|

(b) ​Find the​ x- and​ y-intercepts of the graph of the function. The​ x-intercept(s) is/are ? (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only​ once.) The​ y-intercept is ? (Simplify your answer. Type an integer or a​ fraction.) © Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the​ x-axis at each​ x-intercept. The​ zero(s) of f​ is/are ? (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 ?, so the graph of f touches/crosses ß (choose one) the​ x-axis at X=? The greater zero is a zero of multiplicity ?, so the graph of f Crosses/touches ß(choose one) the​ x-axis at x=?.

(c) Determine the maximum number of turning points on the graph of the function. (Type a whole​ number.) € Use the above information to draw a complete graph of the function.