19. When you analyze a table to determine which type of function it represents, you look for how the y-values change. Match th characteristic to the corresponding type of function. - 1. common first difference a. linear function - 2. common second difference b. quadratic function c. exponential function - 3. common first ratio

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
### Understanding Function Types Through Tables

When analyzing a table to determine the type of function it represents, it's important to observe how the y-values change. Here’s how you can match each characteristic to the corresponding type of function:

1. **Common First Difference**  
   - **Linear Function:** If the first differences in the y-values are constant, the function is linear.

2. **Common Second Difference**  
   - **Quadratic Function:** If the second differences are constant, the function is quadratic.

3. **Common First Ratio**  
   - **Exponential Function:** If there is a common ratio between consecutive y-values, the function is exponential.

Use this guide to identify function types effectively when provided with a table of values.
Transcribed Image Text:### Understanding Function Types Through Tables When analyzing a table to determine the type of function it represents, it's important to observe how the y-values change. Here’s how you can match each characteristic to the corresponding type of function: 1. **Common First Difference** - **Linear Function:** If the first differences in the y-values are constant, the function is linear. 2. **Common Second Difference** - **Quadratic Function:** If the second differences are constant, the function is quadratic. 3. **Common First Ratio** - **Exponential Function:** If there is a common ratio between consecutive y-values, the function is exponential. Use this guide to identify function types effectively when provided with a table of values.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
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