Answer:
[tex]y=x^n[/tex]; [tex]n[/tex] is even and greater than zero.
The absolute value function [tex]y=|x|[/tex]
Step-by-step explanation:
The power function;
[tex]y=x^n[/tex]; [tex]n[/tex] is even and greater than zero, is symmetric with respect to the positive y-axis.
As [tex]x\rightarrow \infty,f(x)\rightarrow \infty[/tex] and as [tex]x\rightarrow -\infty,f(x)\rightarrow \infty[/tex]
The absolute value function [tex]y=|x|[/tex] also has the same end behavior.
The remaining functions in the options provided do not exhibit this end behavior.
See graph in attachment.
