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Question 95077: I do not fully understand the average rate of change. My book does not show an example of this question on how to proceed. Find the average rate of change of the function from x1 to x2:
f(x)=5x+7 from x1=-1 to x2=0
Thank you
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! The average rate of change is indicated by the slope (m) of the line:
Starting with the slope-intercept form of a line:
y=mx+b
Where,
y=any y-value
m=the slope of the line
x=any corresponding y-value
b=the y-intercept at point (0, b)
.
The slope (m) or change will be m=5
.
Or, using your numbers:
f(x)=5x+7
f(-1)=5(-1)+7=-5+7=2
f(0)=5(0)+7=0+7=7
So, the difference is 7-2=5
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