Question

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach infinity. To which family of functions might the described function belong?

Answer 1

Family of Functions :
Not Bounded Even Functions like Quadratic, Bi-Quadratic whose Range is Set of Real Numbers.

Steps:
1) Let us take
$y = {x}^{2}$

When
$x \to \infty \\ y \to \infty$
and
$x \to - \infty \\ y \to \infty$
So, Similarly Even Non Bounded Functions like :
$y = {x}^{4}$ ,etc
Does the same as above.