Question

part a
domain $-5,4$
part b
range $-3,3$
part c
first interval of decrease $(-3,0),(3,4)$
second interval of decrease $(-5,-3),(0,3)$
part d
first interval of increase
second interval of increase

Explanation:

Step1: Identify left curve increase interval

Look at left parabola: rises from $x=-5$ to $x=-3$.
Interval: $(-5,-3)$

Step2: Identify left curve decrease interval

Left parabola falls from $x=-3$ to $x=0$.
Interval: $(-3,0)$

Step3: Identify right curve increase interval

Right parabola rises from $x=0$ to $x=3$.
Interval: $(0,3)$

Step4: Identify right curve decrease interval

Right parabola falls from $x=3$ to $x=4$.
Interval: $(3,4)$

Step5: Extract increase intervals

Combine valid rising intervals.

Answer:

First Interval of Increase: $(-5,-3)$
Second Interval of Increase: $(0,3)$