Chapter 2.4, Problem 9AYU

In Problems 11-18, match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

To determine

To find: Match the given graph and the corresponding function.

Answer to Problem 9AYU

Solution:

Given graph is matched to the $\text{Squarefunction }f(x)=x^2(C)$.

Explanation of Solution

Given:

It is asked to match the given graph and the corresponding function.

Given graph is :

It is matched to the graph $f\left(x\right)=x^2$. That is,

The domain of the square function is the set of all real numbers; its range is the set of non-negative real numbers. The graph of this function is a parabola whose intercept is at $\left(0,0\right)$. The square function is an even function that is decreasing on the interval $\left(-\infty ,0\right]$ and increasing on the interval $\left[0,\infty \right)$.

Therefore, the given graph is matched to the square function $f(x)=x^2(C)$.