## Precalculus (6th Edition) Blitzer

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