Answer
a. $(-\infty,\infty)$
b. $(-\infty,-2]$
c. none.
d. $y=-2$
e. $f(-4)=-5$ and $f(4)=-2$
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 $(-\infty,-2]$
c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercept is: none.
d. the y-intercept can be found at positions where the curve cross the y-axis; we have the y-intercept as $y=-2$
e. from the graph of the function, we can identify $f(-4)=-5$ and $f(4)=-2$
