Question

A function is given. Determine the average rate of change of a function between the given values of the variable.

G(x)=1/x; x=1,x=a

Answer 1

If you want to find the average rate of change (m) for f(x) on the interval x = a to x = b, then use the formula

\[\Large m = \frac{f(b)-f(a)}{b-a}\]

Answer 2

visually this is the slope of the line through the two points (a, f(a)) and (b, f(b))

Answer 3

I know that much and then you input so its 1/a-1 all over a-1

Answer 4

correct

Answer 5

But i think i keep doing something wrong because I know the answer is -1/a yet i cant seem to get that