Homework Help is Here – Start Your Trial Now!
Math
Algebra
To see just how quickly f(x) = 2" increases, let's perform the following thought experiment. Suppose we start with a piece of paper that is a a° = 1 for a + 0. You can see from Figure 2 that there are two kinds of exponential functions: If 0 1, the func- tion increases rapidly (see the margin note). thousandth of an inch thick, and we fold it in half 50 times. Each time we y = 9 y = ()" y = ( y = ( y = 10* y= 5* y = 3* y = 2" fold the paper, the thickness of the paper stack doubles, so the thickness of the resulting stack would be 250/1000 inches. How thick do you y A think that is? It works out to be more than 17 million miles! FIGURE 2 A family of exponential functions y = 2 - (1)*

To see just how quickly f(x) = 2" increases, let's perform the following thought experiment. Suppose we start with a piece of paper that is a a° = 1 for a + 0. You can see from Figure 2 that there are two kinds of exponential functions: If 0 1, the func- tion increases rapidly (see the margin note). thousandth of an inch thick, and we fold it in half 50 times. Each time we y = 9 y = ()" y = ( y = ( y = 10* y= 5* y = 3* y = 2" fold the paper, the thickness of the paper stack doubles, so the thickness of the resulting stack would be 250/1000 inches. How thick do you y A think that is? It works out to be more than 17 million miles! FIGURE 2 A family of exponential functions y = 2 - (1)*

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question

Graph the function, not by plotting points, but by starting from the graphs in the figure. State the domain, range and asymptote.

 

To see just how quickly f(x) = 2" increases, let's perform the following thought experiment. Suppose we start with a piece of paper that is a a° = 1 for a + 0. You can see from Figure 2 that there are two kinds of exponential functions: If 0 <a<1, the exponential function decreases rapidly. If a > 1, the func- tion increases rapidly (see the margin note). thousandth of an inch thick, and we fold it in half 50 times. Each time we y = 9 y = ()" y = ( y = ( y = 10* y= 5* y = 3* y = 2" fold the paper, the thickness of the paper stack doubles, so the thickness of the resulting stack would be 250/1000 inches. How thick do you y A think that is? It works out to be more than 17 million miles! FIGURE 2 A family of exponential functions
Transcribed Image Text:To see just how quickly f(x) = 2" increases, let's perform the following thought experiment. Suppose we start with a piece of paper that is a a° = 1 for a + 0. You can see from Figure 2 that there are two kinds of exponential functions: If 0 <a<1, the exponential function decreases rapidly. If a > 1, the func- tion increases rapidly (see the margin note). thousandth of an inch thick, and we fold it in half 50 times. Each time we y = 9 y = ()" y = ( y = ( y = 10* y= 5* y = 3* y = 2" fold the paper, the thickness of the paper stack doubles, so the thickness of the resulting stack would be 250/1000 inches. How thick do you y A think that is? It works out to be more than 17 million miles! FIGURE 2 A family of exponential functions
y = 2 - (1)*
Transcribed Image Text:y = 2 - (1)*
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Asymptote
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.
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
SEE MORE TEXTBOOKS