Chapter 2.4, Problem 16AYU

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 16AYU

Solution:

Given graph is matched to the $\text{cube root function }f\left(x\right)=\sqrt[3]{x}\text{ that is }\left(H\right)$.

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 $f\left(x\right)=\sqrt[3]{x}$. That is,

The domain and the range of the cube root function are the set of all real numbers. The intercept of the graph is at $\left(0,0\right)$. The cube root function is an odd function that is increasing on the interval $\left(-\infty ,\infty \right)$.

Therefore, the given graph is matched to the cube root function $f\left(x\right)=\sqrt[3]{x}$, that is $\left(H\right)$.