Answer
a. $(-\infty,\infty)$
b. $(-\infty,4]$
c. $x=-3,1$
d. $y=3$
e. $f(-2)=3$ and $f(2)=-5$
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 $(-\infty,4]$;
c. the x-intercepts can be found at positions where the curve cross the x-axis; we have the x-intercepts as $x=-3,1$
d. the y-intercept can be found at positions where the curve cross the y-axis; we have the y-intercept as $y=3$
e. from the graph of the function, we can identify $f(-2)=3$ and $f(2)=-5$
