Question

Find the average rate of change of
g(x)=−x2+3x+3 from x=2 to x=6
Simplify your answer as much as possible.

Answer 1

plug in x = 6, what is g(x) = ?

Answer 2

g(6) = 57
g(2) =13

Answer 3

correct?

Answer 4

how did you get g(2) = 13 ?
can you show what you did ?

Answer 5

oh, you ignored the minus sign in front of - x^2 ?

Answer 6

\[g(x)= -(2)^2 + 3(2) + 3\]
\[g(x)= 4+6+3 \]
\[g(x)= 10+3 = 13\]

Answer 7

Once you find g(2) and g(6) you can find the average rate of change given by

Average rate of change = g(6) - g(2)

Answer 8

except the minus sign is not inside the square
it is -1 * x^2 or -1 * 2*2 = -4

Answer 9

44?

Answer 10

Here is a graph of your problem
You have to find the slope of the line