Chapter 5: Q. 41 (page 284)

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.
$y = 2^{x} + 1$

Short Answer

Expert verified

The graph is

and the domain, range is $(- \infty, + \infty), (1, + \infty)$ and the horizontal asymptote is $y = 1$

Step by step solution

Given information

Given the function $f (x) = 2^{x} + 1$

Step 2:Transforming and plotting the graph

The graph of $y = 2^{x}$ is

Shifting up by one unit

The graph is

Calculate domain, range and asymptote

On seeing the graph, the domain and range is $(- \infty, + \infty)$ and $(1, + \infty)$ respectively and the horizontal asymptote is $y = 1$

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In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.
$y = 2^{x} + 1$

Short Answer

Step by step solution

Given information

Step 2:Transforming and plotting the graph

Shifting up by one unit

Calculate domain, range and asymptote

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In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.y=2x+1

Short Answer

Step by step solution

Given information

Step 2:Transforming and plotting the graph

Shifting up by one unit

Calculate domain, range and asymptote

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Calculus

Mechanics Maths

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.
$y = 2^{x} + 1$