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
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,...
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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.
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