Question

In Problems 31– 42, graph each rational function using transformations.

$F\left(x\right)=2+\frac{1}{x}$

Short answer

The graph of the function $F\left(x\right)=2+\frac{1}{x}$is:

Step-by-step solution

Step 1. Given

The function $F\left(x\right)=2+\frac{1}{x}$

To graph the function.

Step 2. Graph the parent function

Graph the basic function $y=\frac{1}{x}$

Step 3. Graph the function by shifting.

Replace $y=\frac{1}{x}$by

$y=2+\frac{1}{x}$by shifting vertically upward to $2$unit.