Consider the graph of f(x)=4^x.   Which of the following shows the related graph h(x)=4^(4+x) ? B       What is the horizontal asymptote of f(x)? y = 0   What is the domain of f(x)? (-inf, inf)   What is the range of f(x)? (0,inf)   What is the y-intercept of f(x)? NEED help here, please   What is the horizontal asymptote of h(x)? y = 0   What is the domain of h(x)? help (-inf, inf)   What is the range of h(x)? help (0, inf)   What is the y-intercept of h(x)? NEED help here, please.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
100%

Consider the graph of f(x)=4^x.

 

Which of the following shows the related graph h(x)=4^(4+x) ?  B

 
 
 

What is the horizontal asymptote of f(x)?  y = 0

 

What is the domain of f(x)? (-inf, inf)

 

What is the range of f(x)? (0,inf)

 

What is the y-intercept of f(x)? NEED help here, please

 

What is the horizontal asymptote of h(x)? y = 0

 

What is the domain of h(x)? help (-inf, inf)

 

What is the range of h(x)? help (0, inf)

 

What is the y-intercept of h(x)? NEED help here, please.

The image is a 2x2 grid containing four graphs, each labeled with a letter: A, B, C, and D. 

### Graph A:
- **Description**: This graph shows an exponential growth curve. It remains near zero when x is negative and starts increasing rapidly as x becomes positive, illustrating the behavior typical of an exponential function.
- **Features**: The curve approaches the y-axis as x approaches zero from the negative side, and it rises sharply as x increases.

### Graph B:
- **Description**: Similar to Graph A, this graph also depicts exponential growth, but the curve appears steeper.
- **Features**: The graph indicates faster growth, with values remaining near zero when x is negative and quickly increasing for positive x values.

### Graph C:
- **Description**: This graph shows the behavior of an exponential function flipped across the x-axis, suggesting a decay process.
- **Features**: The curve decreases rapidly as x increases from negative to positive values, approaching zero from above.

### Graph D:
- **Description**: An exponential growth graph with a significant increase at positive x values. The growth rate is higher than in graphs A and B.
- **Features**: The steep curve starts near zero and rises sharply, quicker than the other graphs, for increasing x values.

Each graph demonstrates a fundamental property of exponential functions—either growth or decay depending on the orientation and steepness of the curve.
Transcribed Image Text:The image is a 2x2 grid containing four graphs, each labeled with a letter: A, B, C, and D. ### Graph A: - **Description**: This graph shows an exponential growth curve. It remains near zero when x is negative and starts increasing rapidly as x becomes positive, illustrating the behavior typical of an exponential function. - **Features**: The curve approaches the y-axis as x approaches zero from the negative side, and it rises sharply as x increases. ### Graph B: - **Description**: Similar to Graph A, this graph also depicts exponential growth, but the curve appears steeper. - **Features**: The graph indicates faster growth, with values remaining near zero when x is negative and quickly increasing for positive x values. ### Graph C: - **Description**: This graph shows the behavior of an exponential function flipped across the x-axis, suggesting a decay process. - **Features**: The curve decreases rapidly as x increases from negative to positive values, approaching zero from above. ### Graph D: - **Description**: An exponential growth graph with a significant increase at positive x values. The growth rate is higher than in graphs A and B. - **Features**: The steep curve starts near zero and rises sharply, quicker than the other graphs, for increasing x values. Each graph demonstrates a fundamental property of exponential functions—either growth or decay depending on the orientation and steepness of the curve.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education