Question

use the graph to determine a. the functions domain: b. the functions range: c. the x-intercepts, if any, d. the y-intercept, if any, and e. the missing function values, indicated by question marks, below
$f(-2)=? f(2)=?$
a. the domain is $(-infty,infty)$ (type your answer in interval notation. simplify your answer)
b. the range is $(-infty,4$ (type your answer in interval notation. simplify your answer)
c. select the correct choice below and fill in any answer bars within your choice.
a. the x-intercept(s) is (are) -3,1
(type an integer. use a comma to separate answers as needed)
b. there is no x-intercept.
d. select the correct choice below and fill in any answer bars within your choice.
a. the y-intercept is (type an integer.)
b. there is no y-intercept.

Explanation:

Step1: Find the y - intercept

The y - intercept is the value of the function when \(x = 0\). Looking at the graph, when \(x=0\), the function value is \(4\).

Step2: Find \(f(-2)\) and \(f(2)\)

For \(f(-2)\), when \(x=-2\), looking at the graph, the function value is \(0\).
For \(f(2)\), when \(x = 2\), looking at the graph, the function value is \(0\).

Answer:

d. A. The y - intercept is \(4\).
\(f(-2)=0\), \(f(2)=0\)