Question

Algebra II Rate of Change Question:

For this function --> f(x) = (2)^(x + 2) + 1
What is the average rate of change from x=-1 to x=0?

Answer 1

we need two numbers
first \(f(1)\) what do you get?

Answer 2

f(1) = 2^(1 + 2) + 1, I got 9 is this correct?

Answer 3

yes

Answer 4

now we need \(f(0)\)

Answer 5

Which would be 5?

Answer 6

yese

Answer 7

average rate of change is the slope between the points \((0,5)\) and\(1,9)\) i.e. \[\frac{9-5}{1-0}\]

Answer 8

Why did we find positive f(1) instead of f(-1)?

Answer 9

cause i can't read

Answer 10

lets start again
we got the \(f(0)=5\) now we need the \(f(-1)\)

Answer 11

3

Answer 12

@satellite73 Sorry to interrupt, but I'm having troubles with my new equation. Can you come back to it when your finished?

Answer 13

k

Answer 14

So now it's 9-5 over -1 - 3?

Answer 15

no i made a mistake with the \(f(1)=9\) it should be \(f(-1)=3\)

Answer 16

so points are \((-1,3)\) and \((0,4)\)

Answer 17

Okay, and then you just find slope right? Which would be 1

Answer 18

yes and yes

Answer 19

Sweet, unfortunately x=1 is not in any of my answer choices

Answer 20

it is not \(x=1\) the rate of change is 1
the function is \[f(x)=2^{x+2}+1\]right?

Answer 21

Yes, but the answer choices are
x = -2
x = 2
x = 3
x = -3

Answer 22

oh fork!!

Answer 23

\[f(0)=5\] not \(4\)

Answer 24

so slope is 2

Answer 25

Oh spork you're right

Answer 26

Thanks for the help!

Answer 27

yw

Answer 28

even though i screwed up twice!