Answer
a) $\left( -2,4 \right)$.
b) nowhere
c) $\left( -\infty ,2 \right)\cup \left( 4,\infty \right)$.
Work Step by Step
(a)
The function is said to be increasing in an interval when the value of y increases as the value of x increases. So, the given function is increasing on the interval $\left( -2,4 \right)$.
(b)
The function is said to be decreasing in an interval when the value of y decreases as the value of x increases. So the value of y is decreasing nowhere with an increase in the value of x. Hence, the given function is decreasing nowhere in the domain.
(c)
The function is said to be constant in an interval when the value of y remains the same as the value of x increases. So, the given function is constant on the interval $\left( -\infty ,2 \right)\cup \left( 4,\infty \right)$.
