Question

Find the average rate of change of f(x)=2x^3-2x^2-3 from x=1 to x=3. Not sure what to do with the 2x^3 and the 2x^2 -thats where i get lost...

Answer 1

average rate of change = slope of secant line = change in y / change in x.
You need to find f(1) = "y1" and f(3) = "y2".
Then find the slope of the line connecting the two points (1, y1) and (3,y2).

Answer 2

\[f(3)=2\times 3^3-2\times 3^2-3=33\]
\[f(1)=2-2-3=-3\]

Answer 3

thats as far as i have gotten

Answer 4

\[\frac{33-(-3)}{3-1}=\frac{36}{2}=\frac{18}{1}=18\]

Answer 5

\[\frac{33-(-3)}{3-1}=\frac{36}{2}=18\]

Answer 6

lol

Answer 7

i win satellite

Answer 8

fastest latex in the west

Answer 9

i even put 18/1 in there (not needed though lol)

Answer 10

omg lol