Question

Let ​ f(x)=x2−3x−4​ .

What is the average rate of change from x = 7 to x = 10?



Enter your answer in the box.

Answer 1

to find rate of change, you find the change in the output values compared to the change in the input values and write it as a fraction


`(change \: in \: y)/(change \: in \: x)`

f(7) is

`{7}^(2) - 3(7) - 4`

`49 - 21 - 4`
when x is 7, y=24

f(10) is

`{10}^(2) - 3(10) - 4`

`100 - 30 - 4`
when x is 10, y=66

the difference in the y values is 42 when the x values change by 3


`(66 - 24)/(10 - 7) = (42)/(3) = 14`
the average rate of change is 14