Chapter P.8, Problem 70E

(a)

To determine

The open interval for which the function $y=f\left(-x\right)$ increases or decreases from the graph of $y=f\left(x\right)$ as shown below:

(b )

To determine

The open interval for which the function $y=-f\left(x\right)$ increases or decreases from the graph of $y=f\left(x\right)$ as shown below:

(c )

To determine

The open interval for which the function $y=\frac{1}{2}f\left(x\right)$ increases or decreases from the graph of $y=f\left(x\right)$ as shown below:

(d )

To determine

The open interval for which the function $y=-f\left(x-1\right)$ increases or decreases from the graph of $y=f\left(x\right)$ as shown below:

(e )

To determine

The open interval for which the function $y=f\left(x-2\right)+1$, increases or decreases from the graph of $y=f\left(x\right)$ as shown below: