Q. 15 - 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 F Reciprocal 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 non zero real numbers.

The graph has no intercepts.

We can observe that from the given graph the value of $x$ increases when the value of $y$  decreases then the function of the graph is the Reciprocal function that is

$f\left(x\right)=\frac{1}{x}$.