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 ___________ .

Short answer

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

Step-by-step solution

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$\left(1,1\right)$.