Question

I don't understand these types of problems-

Find the average rate of change of f between 1 and x

f(x)-f(1)/x-1

and X cannot be equal to 1

1) f(x)= the square root of x+3




2) f(x)=1/(x^2)


3) f(x)=x^3 + x

Answer 1

Here's how you do #1. The others can be done the same way.

I will assume than f(x) = sqrt(x+3) and not (sqrt x) + 3. You should have used parentheses to clarify the problem.

Find the average rate of change of f between 1 and x . That is

[f(x)-f(1)]/(x-1)
= [sqrt(x+3) - sqrt4]/(x-1)
= [sqrt(x+3) - 2]/x-1)
is the average rate of change in this case, from 1 to x.
For x = 2, this is 0.236..
For x = 3, it is 0.224..
For x = 4, it is 0.215..
For x = 13, it is (4-2)/12 = 0.1667...

Answer 2

Need help I have 91.36 need to round it up to 5 whats my answer