Reid Gray

07/04/2024 · Primary School

Analyze the polynomial function \( f(x)=(x+8)(x-1)^{2} \) using parts (a) through (e). (a) verermine tne ena denavior or tne grapn or me runction. The graph of \( f \) behaves like \( y=x^{3} \) for large values of \( |x| \). (b) Find the \( x \) - and \( y \)-intercepts of the graph of the function. The \( x \)-intercept(s) is/are \( -8,1 \). (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 8 . (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 \( ~ \) islare (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)