Answer
a. $[-4,5)$
b. $[-3,1]$
c. $x=-4, 1$
d. $y=-2$
e. $(-2,2)$
f. $(-4,-2)$
g. $(2,5)$
h. $f(4)=1$
i. $x=-2$
j. $y=-3$
Work Step by Step
Using the graph of the function $y=f(x)$ given in the exercise, we can identify:
a. the domain as $[-4,5)$
b. the range as $[-3,1]$
c. the x-intercepts as $x=-4, 1$
d. the y-intercept as $y=-2$
e. interval(s) where f is increasing as $(-2,2)$
f. interval(s) where f is decreasing as $(-4,-2)$
g. interval(s) where f is constant as $(2,5)$
h. $f(4)=1$
i. the number at which f has a minimum as $x=-2$
j. the minimum value of f as $y=-3$
