Q. 13 - 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

graph matches with the option B Identity function 

Step 1. given data

The given graph is 

Step 2. function of the graph

Determine the property of the graph

the graph is a straight line with a slope of $1$

Domain and range of the graph is all real numbers

x-intercept and y-intercept of the graph is zero

x coordinates of all points are equal to y coordinates 

these properties are the properties of the identity function 

so the graph is a graph of the identity function $f\left(x\right)=x$