Q. 16 - 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 H Cube Root 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.

The $x$-intercept and $y$-intercept is zero.

The function is increasing on the interval $\left(-\infty ,\infty \right)$.

 

Hence the function of the given graph is which is odd is the Cube Root function that is 

$f\left(x\right)=\sqrt[3]{x}$.