Question

Which of the following function types exhibit the end behavior (PICTURE INCLUDED)

Answer 1

Answer:

$y=x^n$; $n$ is even and greater than zero.

The absolute value function $y=|x|$

Step-by-step explanation:

The power function;

$y=x^n$; $n$ is even and greater than zero, is symmetric with respect to the positive y-axis.

As $x\rightarrow \infty,f(x)\rightarrow \infty$ and as $x\rightarrow -\infty,f(x)\rightarrow \infty$

The absolute value function $y=|x|$ also has the same end behavior.

The remaining functions in the options provided do not exhibit this end behavior.

See graph in attachment.