Homework Help is Here – Start Your Trial Now!
Math
Algebra
Find the ratio of the output values that correspond to increases of 1 in the input value. (Note: Some authors call this a 1 - unit growth/decay factor.) 6- (-1, 4) 2+ 1 (0, 1) (1, 0.25) -2 -1 3 4 LO 3.

Find the ratio of the output values that correspond to increases of 1 in the input value. (Note: Some authors call this a 1 - unit growth/decay factor.) 6- (-1, 4) 2+ 1 (0, 1) (1, 0.25) -2 -1 3 4 LO 3.

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
The task is to find the **ratio of the output values** that correspond to increases of 1 in the input value. (Note: Some authors call this a 1-unit growth/decay factor.) ### Explanation of the Graph: The graph is a curve plotted on a coordinate plane with labeled points and axes. - The horizontal axis is labeled as \( x \) and the vertical axis is unmarked but typically represents \( y \). - The curve is shown descending from left to right. - Several points are marked on the graph: - \( (-1, 4) \) at \( x = -1 \) with \( y = 4 \). - \( (0, 1) \) at \( x = 0 \) with \( y = 1 \). - \( (1, 0.25) \) at \( x = 1 \) with \( y = 0.25 \). ### Analyzing the Curve: - The curve suggests an exponential decay, where as \( x \) increases, \( y \) decreases rapidly. - The ratio of output values for a change in the input by 1 unit can be calculated between the marked points: - From \( x = -1 \) to \( x = 0 \): Ratio = \( \frac{y(0)}{y(-1)} = \frac{1}{4} \) - From \( x = 0 \) to \( x = 1 \): Ratio = \( \frac{y(1)}{y(0)} = \frac{0.25}{1} = 0.25 \) This data suggests the graph represents an exponential function characterized by continuously halving for each increase in \( x \) by 1 unit.
Transcribed Image Text:The task is to find the **ratio of the output values** that correspond to increases of 1 in the input value. (Note: Some authors call this a 1-unit growth/decay factor.) ### Explanation of the Graph: The graph is a curve plotted on a coordinate plane with labeled points and axes. - The horizontal axis is labeled as \( x \) and the vertical axis is unmarked but typically represents \( y \). - The curve is shown descending from left to right. - Several points are marked on the graph: - \( (-1, 4) \) at \( x = -1 \) with \( y = 4 \). - \( (0, 1) \) at \( x = 0 \) with \( y = 1 \). - \( (1, 0.25) \) at \( x = 1 \) with \( y = 0.25 \). ### Analyzing the Curve: - The curve suggests an exponential decay, where as \( x \) increases, \( y \) decreases rapidly. - The ratio of output values for a change in the input by 1 unit can be calculated between the marked points: - From \( x = -1 \) to \( x = 0 \): Ratio = \( \frac{y(0)}{y(-1)} = \frac{1}{4} \) - From \( x = 0 \) to \( x = 1 \): Ratio = \( \frac{y(1)}{y(0)} = \frac{0.25}{1} = 0.25 \) This data suggests the graph represents an exponential function characterized by continuously halving for each increase in \( x \) by 1 unit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Differential Equation
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