Chapter 4: Q. 35 (page 225)

In Problems 31– 42, graph each rational function using transformations.
$H (x) = \frac{- 2}{(x + 1)}$

Short Answer

Expert verified

The graph of the function $H (x) = \frac{- 2}{(x + 1)}$ is:

Step by step solution

Step 1. Given

The function $H (x) = \frac{- 2}{(x + 1)}$

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

$y = \frac{1}{x + 1}$ , so that the graph shift horizontally left to one unit.

Step 4. Replace y=1x+1 by y=-2x+1

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

$y = \frac{- 2}{x + 1}$ so that the graph stretched by the factor $2$ and reflected about $x -$ axis.

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In Problems 31– 42, graph each rational function using transformations.
$H (x) = \frac{- 2}{(x + 1)}$

Short Answer

Step by step solution

Step 1. Given

Step 2. Graph the parent function

Step 3. Graph the function by shifting.

Step 4. Replace y=1x+1 by y=-2x+1

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In Problems 31– 42, graph each rational function using transformations.H(x)=-2(x+1)

Short Answer

Step by step solution

Step 1. Given

Step 2. Graph the parent function

Step 3. Graph the function by shifting.

Step 4. Replace y=1x+1 by y=-2x+1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Discrete Mathematics

Probability and Statistics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

In Problems 31– 42, graph each rational function using transformations.
$H (x) = \frac{- 2}{(x + 1)}$