Q. 10 - Precalculus Enhanced with Graphing Utilities

Question

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  

Step-by-Step Solution

Answer

The correct match for the given graph is the option A. Constant function.

Step 1. Given information

We have been given a graph: 

We have to find the correct match for this graph. 

Step 2. Identify the graph

The given graph is a horizontal line.

A horizontal line represents a function of the form $f\left(x\right)=k$.  

$k$ is a constant.

The given graph is of a constant function.

Therefore, the correct match for the graph is the option A. Constant function.