Answer
a. $[-3, 2]$
b. $[-5, 5]$
c. $x=-0.5$
d. $y=1$
e. $f(-2)=-3$
Work Step by Step
a. the function’s domain is defined by all possible $x$ values, and we can identify the domain as $[-3, 2]$
b. the function’s range is defined by all possible $y$ values, and we can identify the range as $[-5, 5]$
c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercept is $x=-0.5$
d. the y-intercept can be found at positions where the curve cross the y-axis; we have the y-intercept as $y=1$
e. from the graph of the function, we can identify $f(-2)=-3$
