Q. 14 - 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 graph matches with the option D Cube function. 

Step 1. Given information.

The given graph is,

 

Step 2. Finding the function of the graph.

First, we will determine the properties of the graph that are

The domain and range of the graph are set of all real numbers.

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

The function is an odd function.

 

Hence the function of the given graph is the Cube function that is 

$f\left(x\right)=x^3$.