Mathematics: Given f(x) = 17-xwhat is the average rate of change in f(x) over the interval [1, 5]?

Given f(x) = 17-xwhat is the average rate of

Ответ:

luc58

09.01.2022

Mathematics

The average rate of change in f(x) over the interval [1, 5] is -1

Step-by-step explanation:

Hi! Let me help you to understand this problem. Here we have the following function:

f(x) = 17-x

We need to compute the Average Rate of Change (ARC) in f(x) over the interval [1, 5] . So what is the average rate of change of a function? In general, for a nonlinear graph whose slope changes at each point, the average rate of change between any two points $(x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})$ is defined as the slope of that line through that two points. Here we have a linear function, so the average rate of change will be the slope of the line: