Q. 31 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 27– 40, use transformations of the graph of $y=x^4$ or $y=x^5$ to graph each function. Verify your results using a graphing utility.

$f\left(x\right)=\frac{1}{2}{x}^4$

Step-by-Step Solution

Answer

The graph of $f\left(x\right)=\frac{1}{2}{x}^4$ compressing by the factor $\frac{1}{2}$ of the function $f\left(x\right)=x^4$

Step 1. Given Information

The given function is $f\left(x\right)=\frac{1}{2}{x}^4$

Step 2. Draw the graph of f x = x 4

Step 3. Draw the graph of f x = 1 2 x 4

Lets multiply $f\left(x\right)=x^4$ by $\frac{1}{2}$, thus we need to compress by the factor $\frac{1}{2},$to get the graph of $\frac{1}{2}{x}^4$