Question

use the given function to complete parts (a) through (e) below. f(x)=x^4 - 9x^2 a) use the leading coefficient test to determine the graphs end behavior. a. the graph of f(x) rises left and rises right. b. the graph of f(x) falls left and falls right. c. the graph of f(x) falls left and rises right. d. the graph of f(x) rises left and falls right. b) find the x - intercepts. x=-3,0,3 (type an integer or a decimal. use a comma to separate answers as needed.) at which zeros does the graph of the function cross the x - axis? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. x=-3,3 (type an integer or a decimal. use a comma to separate answers as needed.) b. there are no x - intercepts at which the graph crosses the x - axis. at which zeros does the graph of the function touch the x - axis and turn around? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. x=0 (type an integer or a decimal. use a comma to separate answers as needed.) b. there are no x - intercepts at which the graph touches the x - axis and turns around. c) find the y - intercept by computing f(0). f(0)=□

Explanation:

Step1: Find the y - intercept

Substitute \(x = 0\) into \(f(x)=x^{4}-9x^{2}\).

Step2: Calculate \(f(0)\)

\(f(0)=0^{4}-9\times0^{2}=0\)

Answer:

\(0\)