To justify: Using graph of a set of points enough to determine linear or exponential function.
Answer to Problem 29E
Yes, we can determine whether the points represent linear or exponential function.
Explanation of Solution
Given information :
Given any data points.
Concept used:
Use patterns between consecutive data pairs to determine type of function.
Linear function: - The difference of consecutive y-values is constant.
Exponential function: - Consecutive y-values have a common ratio. In each case, the differences of consecutive x-values need to be constant.
Given a set of points, we can determine whether they represent a linear functions if when
Also, we can determine whether they represent an exponential function if when
Hence,
Yes, we can determine whether the points represent linear or exponential function.
Chapter 6 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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