Answer
a. $(-6,0]$
b. $[-3,4)$
c. $x=-4$
d. $y=-3$
e. $f(-4)=0$
Work Step by Step
a. the function’s domain is defined by all possible $x$ values, and we can identify the domain as $(-6,0]$
b. the function’s range is defined by all possible $y$ values, and we can identify the range as $[-3,4)$
c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercept is $x=-4$
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 $f(-4)=0$
