Q. 9 - Precalculus Enhanced with Graphing Utilities

Question

The graph of a power function of the form $f\left(x\right)=x^n$, where $n\ge 2$is an even integer, always contains the points __________, _________ and ___________ .

Step-by-Step Solution

Answer

The solution is $\left(0,0\right),\left(-1,1\right)$ and $\left(1,1\right)$ .

Step 1. Given information

Power function:$f\left(x\right)=x^n$

Step 2. Calculation

The graph of a power function of the form $f\left(x\right)=x^n$, where $n\ge 2$ is an even integer, always contains the points $\left(0,0\right),\left(-1,1\right)$  and $\left(1,1\right)$ .