Concept explainers
To prove:Average rate of change of liner function is constant & for exponential function is not constant.
Answer to Problem 25E
Average rate of change of liner function is constant & for exponential function is not constant is proved.
Explanation of Solution
Given information :
Linear & exponential function.
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.
Linear function: - The difference of consecutive y-values is constant.
Consecutive ‘y’ values have a common ratio and they do not change by a constant amount.
Exponential function: - Consecutive y-values have a common ratio. In each case, the differences of consecutive x-values need to be constant.
Consecutive y values change by a constant ratio.
Hence,
Average rate of change of liner function is constant & for exponential function is not constant.
Chapter 6 Solutions
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