Question

Please help. I'm desperate.
For the graphed function f(x) = (2)^x + 2 + 1, calculate the average rate of change from x = 0 to x = 2.
options are:
-3/2
-2
3/2
4

Answer 1

The formula for "average rate of change" is much like the formula for slope (m). I'll type it out for you:\[ave~rate~of~change=\frac{ f(b)-f(a) }{ b-a }\]Would you please share whatever you know about this formula. Where do a and b come from? What does f(x) represent?

Answer 2

I really know nothing. I slacked off in the beginning of the year. So I really just need the answer. I'm desperate. I'm freaking out cause i might fail the class. Please help

Answer 3

heres the picture that came with it

Answer 4

@mathgeek1 @mathmale please help

Answer 5

I'd be glad to help, but I do expect you to do some appropriate preparation before posting these questions. Sorry you slacked off earlier this term; what you are facing now are direct consequences of that slacking off.

share whatever you do know about each problem. then I'd be happy to step in with suggestions and guidance.

Answer 6

Im being serious. Im looking at these problems and drawing a complete blank. I know absaloutly nothing in this worksheet

Answer 7

i havea low grade in the class already. i need to get a good grade on this. please help

Answer 8

All I'm asking is that you demonstrate SOME preparation, some basic groundwork; if you haven't done any prep at all, then it's awfully late to be asking for help. Again, please ask some basic questions so I can respond meaningfully.

I gave you a formula for the average rate of change of a function. Have you seen that before?

Basically, to find the average rate of change of a function from x=a to x=b, we evaluate the function at x=a and at x=b, subtract f(a) from f(b), and then divide that result by the change in x, which is just b-a. Here your a= 0 and your b = 2.

Answer 9

Appeals to your being desperate won't help much here. Sorry to sound tough. I just want you involved in the problem solving process.

Answer 10

i've researched everything already trying to understand, but i just cant. could you please just help me answer this. i know i shouldve payed attention but in order for me to understand this stuff i'd have to retake my entire high school career. please just help

Answer 11

You are given the function f(x) = (2)^x + 2 + 1.

You are told that x changes from x=a=0 to x=b=2.

Evaluate f(x) at x=0.
Evaluate f(x) at x=2.

Answer 12

i dont know how!

Answer 13

Hint: In f(x) = (2)^x + 2 + 1, throw out every occurrence of x and replace it with 0.

f(0)=?

Answer 14

is the answer -2?

Answer 15

Were f(x) = (2)^x + 2 + 1 correct, you'd get f(0)=2^0+2+1, or 1+2+1. What's that equal to?

Answer 16

4

Answer 17

thats the answer?

Answer 18

do you know how to take and share screen shots?

Answer 19

yes. but is 4 the answer?

Answer 20

Before I answer that, please take a screen shot of the original problem and upload it herer. I suspect that the last two terms in f(x) = (2)^x + 2 + 1 are not correct. Note that 2+1=3, and that's suspicious looking (too simple).

Answer 21

its to the left of the screen

Answer 22

thank you. Sorry to bring you bad news, but your function is not f(x) = (2)^x + 2 + 1. Instead, it's\[f(x)=2^{x+2}\] which is quite different from f(x) = (2)^x + 2 + 1.

Next time, write f(x) this way: f(x) = (2)^(x + 2) + 1.
Please evaluate f(x) = (2)^(x + 2) + 1. at x=0.

Note that (0+2)=2

Answer 23

so what would be the answser

Answer 24

Maddie, I'm asking you that question. I know how to find the answer; my job is to help YOU to find it for yourself.

Answer 25

its 4?

Answer 26

f(x) = (2)^(x + 2) + 1, evaluated at f(0), is f(0)=(2)^2 + 1 = 4+1 = ????

Answer 27

i mean 5

Answer 28

f(0)=(2)^2 + 1 = 4+1 = ????

Answer 29

i know but 5 isnt an option

Answer 30

that's better. f(0)=5. Now find f(2). Wherever you see x in the function f(x)=(2)^(x+2) + 1 , substitute 2. f(2)=(2)^(2+2) + 1 = ???

Answer 31

32

Answer 32

But 2^4=16 and 16+1=??

Answer 33

f(2)=(2)^(2+2) + 1 => (2)^4 = 1 = 16 + 1 = ??

Answer 34

17

Answer 35

is it 17? whats the next step

Answer 36

Now you have f(0), f(2), 0 and 2;

Evaluate \[\frac{ f(2)-f(0) }{ 2-0 }\]

Answer 37

f(2)/2

Answer 38

f(2) = 17
f(0) = 5
so f(2) - f(0) = 17 = 5 = 12.


a = 0
b = 2

so b - a = ??

Answer 39

2

Answer 40

so the answer is -2?

Answer 41

f(2) - f(0) is 17 = 5 = 12.

Next, 2-0 is 2.

Next, 12/2 is 6. the average rate of change of your function 2^(x+2) + 1 over the interval ]0,2} is thus 6. THAT is the answer you wanted.

Answer 42

Review: Average Rate of Change of f(x) over an interval [a,b] is\[A.R.C.=\frac{ f(b)-f(a) }{ b-a }\]

Answer 43

and here your A. R. C. is\[A.R.C.=\frac{ f(2)-f(0) }{ 2-0 }=\frac{ 17-5 }{ 2 }=\frac{ 12 }{ 2 }=6\]