Explanation Given information: The function is g ( x ) = − e x − 1 − 2 . Concept used: If a constant is added to the argument of function, the graph of the function shifts horizontally left if the constant is positive and it shifts horizontally right if the constant is negative. The reflection of graph of f ( x ) about x -axis can be obtained by g ( x ) = − f ( x ) . Graph: Consider the function f ( x ) = e x and horizontally shift the graph right by 1 units to obtain the graph of the function h ( x ) = e x − 1 . Then, reflect the graph about x axis to obtain the graph of p ( x ) = − e x − 1 and shift the graph vertically downward by 2 to graph the function g ( x ) = − e x − 1 − 2 . The graph of the function g ( x ) = − e x − 1 − 2 is shown in Figure 1 as, Interpretation: From the Figure 1 it is observed that y intercept of the function g ( x ) = − e x − 1 − 2 is − 2.368 . Calculation: The domain of the function f ( x ) is set of all x -values for which the function f ( x ) exists as a real number

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 4.2, Problem 16E

To determine

To sketch:

The graph of the function g(x)=−ex−1−2 and also find the domain, range, and asymptote.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.2, Problem 15E

Chapter 4.2, Problem 17E

Students have asked these similar questions

This figure displays the graph of the exponential function f(x) = c. bkz. You can adjust parameters b, C. c, and k to see how changing these parameters changes the graph of the function. See if you can determine the effect that each parameter has on the shape of the graph. Can you determine why each effect occurs? Interactive Figure f -9 -8- --7- -6- -5 -4- 3- 2- -9-8-7 -6 -5 -4 -3 -2 -1 -1- --2- -3- -4- --5- -6- -7- Y 22 (0.1) 1 2 -3. 4 5 6 7 x -00- 8 b = 2 c=1 k = 1 f(x) = c.fkx f(x) = 2* [] 1

the question in the image

INSTRUCTIONS: Graph the following exponential functions. Specify the domain, range, intercept, and asymptote. 1. f(x) = 22-1 x0 1 2 3 Domain: Range: x-intercept: у-intercept. Asymptote: 2. f(x) = 3**1- 1 *-1 01 2 Domain: Range: x-intercept: y-Intercept: Asymptote:

Chapter 4 Solutions

College Algebra

Ch. 4.1 - The function f(x)=5x is an exponential function...Ch. 4.1 - Match the exponential function with one of the...Ch. 4.1 - (a) To obtain the graph of g(x)=2x1 , we start...Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - The exponential function f(x)=(12)x+3 has the...Ch. 4.1 - Evaluating Exponential Functions Use a calculator...Ch. 4.1 - Evaluating Exponential Functions use a calculator...Ch. 4.1 - Evaluating Exponential Functions Use a calculator...Ch. 4.1 - Evaluating Exponential Functions Use a calculator...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The graph of the function g ( x ) = − e x − 1 − 2 and also find the domain, range, and asymptote.

Solution Summary: The author illustrates the graph of the function g(x)=-ex-1-2 and its domain, range, and asymptote.

Videos

To sketch:

The graph of the function g(x)=−ex−1−2 and also find the domain, range, and asymptote.

Want to see the full answer?

Chapter 4 Solutions

The graph of the function g ( x ) = − e x − 1 − 2 and also find the domain, range, and asymptote.

Solution Summary: The author illustrates the graph of the function g(x)=-ex-1-2 and its domain, range, and asymptote.

Videos

To sketch: The graph of the function g(x)=−ex−1−2 and also find the domain, range, and asymptote.

Want to see the full answer?

Chapter 4 Solutions

To sketch:

The graph of the function g(x)=−ex−1−2 and also find the domain, range, and asymptote.