Let f(x)=x2−3x−4 .

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

The average rate of change from x= 7 to x=10 is 14

Step-by-step explanation:

We can use the slope formula to find the average rate of change

Now, we are given f(x) = x^2-3x-4 and x=7 to x=10

Our formula can be rewritten as:

finding f(10) = (10)^2 -3(10) -4

                   = 100 -30 -4

                   = 66

and f(7) = (7)^2 -3(7) -4

            = 49-21-4

            = 24

Now finding m:

m= 66 - 24 / 10-7

m= 42/3

m= 14

So, the average rate of change from x= 7 to x=10 is 14.

ANSWER

EXPLANATION

The given function is

The average rate of change from x=7 to x=10 is given by;

The average rate of change now becomes: