Answer
a. $\{-5,-2,0,1,4\}$
b. $\{-2\}$
c. none.
d. $y=-2$
e. $f(-5)+f(3) =-4$
Work Step by Step
a. the function’s domain is defined by all possible $x$ values, and we can identify the domain as $\{-5,-2,0,1,4\}$
b. the function’s range is defined by all possible $y$ values, and we can identify the range as $\{-2\}$
c. the x-intercepts can be found at positions where the curve cross the x-axis, and the x-intercepts are: 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 $f(-5)+f(3)=-2-2=-4$
