Answer
a. $(-\infty,\infty)$
b. $[0,\infty)$
c. $\{x|x\leq0\}$.
d. $y=0$
e. $f(-2)=0$ and $f(2)=4$
Work Step by Step
a. the function’s domain is defined by all possible $x$ values, and we can identify the domain as $(-\infty,\infty)$
b. the function’s range is defined by all possible $y$ values, and we can identify the range as $[0,\infty)$
c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercepts are $\{x|x\leq0\}$.
d. the y-intercept can be found at positions where the curve cross the y-axis; we have the y-intercept as $y=0$
e. from the graph of the function, we can identify $f(-2)=0$ and $f(2)=4$
