Chapter 11.2, Problem 46HP

To determine

To Identify: The function that does not belong to other three. Explain.

Answer to Problem 46HP

  $y=\frac{8}{x}+1$

Explanation of Solution

Given:$y=\frac{4}{x},y=\frac{6}{x+1},y=\frac{8}{x}+1,y=\frac{10}{2x}$

The graph of function $y=\frac{4}{x}$

  

The graph does not have any intercept.

Graph of function $y=\frac{6}{x+1}$

  

The graph does not have any intercept.

Graph of function $y=\frac{8}{x}+1$

  

The graph has one intercept.

Graph of $y=\frac{10}{2x}$

  

The graph does not have any intercept

Thus

It is concluded that graph $y=\frac{8}{x}+1$ is different as it has one intercept while others don’t.

Hence, $y=\frac{8}{x}+1$