Chapter 2.4, Problem 15AYU

In Problems 11-18, 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

To determine

To find: Match the given graph and the corresponding function.

Answer to Problem 15AYU

Solution:

Given graph is matched to the $\text{reciprocal function }f\left(x\right)=\frac{1}{x}\text{ that is }\left(F\right)$.

Explanation of Solution

Given:

It is asked to match the given graph and the corresponding function.

Given graph is :

It is matched to the graph $f\left(x\right)=\frac{1}{x}$. That is,

The domain and the range of the reciprocal function are the set of all nonzero real numbers. The graph has no intercepts. The reciprocal function is decreasing on the intervals $\left(-\infty ,0\right)$ and $\left(0,\infty \right)$ and is an odd function.

Therefore, the given graph is matched to the reciprocal function $\left(x\right)=\frac{1}{x}$, that is $\left(F\right)$.