Chapter 2.4, Problem 10AYU

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 10AYU

Solution:

Given graph is matched to the $\text{Constant function }f\left(x\right)=b\left(A\right)$.

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

The domain of the constant function is the set of all real numbers; its range is the set consisting of single number $b$. Its graph is a horizontal line whose $y-\text{intercept}$ is $b$. The constant function is an even function.

Therefore, the given graph is matched to the constant function $f\left(x\right)=b\left(A\right)$.