Chapter 2.4, Problem 11AYU

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 11AYU

Solution:

Given graph is matched to the $\text{Square root function} f\left(x\right)=\sqrt{x}\text{ that is }\left(E\right)$.

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

The domain and range of the square root function is the set of nonnegative real numbers. The intercept of the graph is at $\left(0,0\right)$. The square root function is neither even nor odd and is increasing on the interval $\left[0,\infty \right)$.

Therefore, the given graph is matched to the square root function $\left(x\right)=\sqrt{x}$, that is $\left(E\right)$.