Chapter 2.5, Problem 135E

(a)

To determine

To graph: The function $f\left(x\right)=x^2+1$.

(b)

To determine

To graph: The functions $f\left(x\right)=x^2+1$, $g\left(x\right)=f\left(2x\right)$, $h\left(x\right)=f\left(3x\right),$ and $k\left(x\right)=f\left(4x\right)$ in the same rectangle.

(c)

To determine

The relationship between the graphs of the multiple functions $f\left(x\right)=x^2+1$, $g\left(x\right)=f\left(2x\right)$, $h\left(x\right)=f\left(3x\right),$ and $k\left(x\right)=f\left(4x\right)$.

(d)

To determine

The relationship between the graph of function $f\left(x\right)=x^2+1$ and $g\left(x\right)=f\left(cx\right)$ where $c>1$.

(e)

To determine

To graph: The function $y=f\left(cx\right)$ for $c=1,2,3,4$.