Question

What formula do I use to determine the average rate of change for the function f(x)=3/4x-1?

Answer 1

the derivative, f'=dy/dx=n*x^(n-1)

Answer 2

the -1 at the end would go away because the derivative of a constant is equal to zero.

Answer 3

@caozeyuan is right. Use the derivative formula:
\[ f'=\frac{ dy }{ dx }=n\ x ^{\left( n - 1 \right)}\]
So it would look like this:
\[f(x)=\frac{ 3 }{ 4 } x-1\]
\[f'(x) = \frac{ 3 }{ 4 }\]
The average rate of change of f(x) is 3/4.