Chapter 3.2, Problem 105E

Graphical Reasoning Sketch the graph of the function $$f(x)=x^4.$$Explain how the graph of each function $$g$$differs (if it does) from the graph of $$f.$$Determine whether $$g$$is even, odd, or neither.

$$\begin{array}{l}\left(\text{a}\right)g(x)=f(x)+2\left(\text{b}\right)g(x)=f(x+2)\\ \left(\text{c}\right)g(x)=f(–x)\left(\text{d}\right)g(x)=–f(x)\\ \left(\text{e}\right)g(x)=f\left(\frac{1}{2}x\right)\left(\text{f}\right)g(x)=\frac{1}{2}f(x)\\ \left(\text{g}\right)g(x)=f(x^{3/4})\left(\text{h}\right)g(x)=(fºf)(x)\end{array}$$