Question

HELPPPPPPPPP!!!!!!!!!!!!!!
For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = -2 to x = 0.

graph of f of x equals 2 to the x plus 2 power, plus 1.

−3 over 2

−2

3 over 2

4

Answer 1

do you understand the idea of average rate of change?

Answer 2

no

Answer 3

average rate of change = f(2) - f(1) / b - a

Answer 4

how would i work that out with the graph?

Answer 5

sorry... f(b) - f(a) / b - a

Answer 6

I'm still lost

Answer 7

think of the average rate of change as slope

Answer 8

Still lost :(

Answer 9

Thats the graph

Answer 10

There's something wrong, when you plug in 0 for x into 2x + 2 + 1 it equals 0 + 2 + 1 = 3

(0,3), your graph says (0,5). You said, "2 to the x" are you implying 2^x?

Because your graph looks to be exponential. In my previous attempt I mistook it for a quadratic graph.

Answer 11

I'm not sure,thats the way I was given

Answer 12

IF it was exponential it would actually give you (0,4) because 2^0 = 1, 1 + 3 = 4

Answer 13

thank youuuu, I kinda of get it now...,can you help me on a few other graph questions as well?

Answer 14

"Graph of f of x equals \(\ \sf 2 ~ to~ the ~x \) plus \(\ \sf 2 ~ POWER\), plus 1.

What do you mean "2 power"?

Answer 15

Is it like an exponent?

Answer 16

I've never seen a problem say "2 power". Can you screen shot the entire problem along with the graph?

Answer 17

okay

Answer 18

Exactly ^_^

There's a big difference between 2x + 2 + 1 and \(\ \sf 2^{x + 2} + 1 \)

Can you plug in -2 into f(x) = \(\ \sf 2^{x + 2} + 1 \) for me?

Answer 19

Just replace "X" with -2 everywhere there is an "x"

Answer 20

one sec

Answer 21

k

Answer 22

is it -2?

Answer 23

\(\ \sf 2^{-2 + 2} + 1 = 2^0 + 1 = 1 + 1 = 2 \) So yes, (-2,2) is correct. Now do 0?

Answer 24

4?

Answer 25

Close, \(\ \sf 2{0 + 2} + 1 = 2^2 + 1 = 4 + 1 = 5 \) So (0,5)

Answer 26

what would I have to do next?

Answer 27

Find the average of change between x = -2 to x = 0,

The formula I'm familiar with is \(\ \sf \dfrac{f(b) - f(a)}{b - a} \)

\(\ \sf \dfrac{5 - 2}{0 - (-2)} = 3/2 \)

I also did this in the previous problem and got 3/1, was it wrong?

Answer 28

3/2*

Answer 29

It was right,thank you!!I have 4 more graph questions I need some help on please

Answer 30

Brb!

Answer 31

graph begins in the second quadrant near the line y equals 3 and increases slowly while crossing the ordered pair 0, 4. When the graph enters the first quadrant, it begins to increase quickly throughout the graph.

f(x) = 4x

f(x) = 4x − 3

f(x) = 4x + 3

f(x) = 4(x + 3)

Answer 32

ok