Chapter 2.5, Problem 37AYU

(a)

To determine

The interval, where graph of $y=f\left(x+2\right)$ is increasing, where the function $y=f\left(x\right)$ is increasing on the interval $\left(-1,5\right)$

(b)

To determine

The interval, where graph of $y=f\left(x-5\right)$ is increasing, where the function $y=f\left(x\right)$ is increasing on the interval $\left(-1,5\right)$

(c)

To determine

The interval, where $y=-f\left(x\right)$ increasing or decreasing, if the function $y=f\left(x\right)$ is increasing on the interval $\left(-1,5\right)$

(d)

To determine

The interval, where $y=f\left(-x\right)$ increasing or decreasing, if the function $y=f\left(x\right)$ is increasing on the interval $\left(-1,5\right)$