Chapter 2.4, Problem 13AYU

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 13AYU

Solution:

Given graph is matched to the $\text{Identity function }f\left(x\right)=x\text{ that is }\left(B\right)$.

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

The domain and the range of the identity function are the set of all real numbers. Its graph is a line whose slope is 1 and whose $y-\text{intercept}$ is 0. The line consists of all points for which the $x-\text{coordinate}$ equals the $y-\text{coordinate}$. The identity function is an odd function that is increasing over its domain. Also the graph bisects quadrants I and III.

Therefore, the given graph is matched to the identity function $\left(x\right)=x$, that is $\left(B\right)$.