Question

given the function f(x)=4(2)^x, section A is from x=1 to x=2 and section B is from x=3 to x=4
Part A: Find the Average Rate of change of each section
Part B: How many times greater is the average rate of change of section B than section A?
Explain Why one rate of change is greater than the other.

Answer 1

@AlexandervonHumboldt2

Answer 2

@Agl202

Answer 3

@AaronAndyson

Answer 4

@aloud

Answer 5

@ParthKohli

Answer 6

@partyqueen

Answer 7

@paulalovee

Answer 8

@Wendy.Ivette11714

Answer 9

@ganeshie8 can you help this person plz im not sure how to explane or do this problem right?

Answer 10

@rockstar0765

Answer 11

@Ashleyrh1999

Answer 12

can anyone help?

Answer 13

@dr0zier99

Answer 14

@ConnexusStudent0912

Answer 15

are you trying to evaluate it

Answer 16

Substitute the value of the variable into the equation and simplify
f(3)=64

Answer 17

section a:
f(x)=4(2)^x
1.......8
2.......16
section b:
3.......32
4.......64

Answer 18

section b is 4 times greater than section a

Answer 19

if i simplify f(3)=64 I get 0

Answer 20

I think that the definition of average rate \(r\) of change, can be this:
\[\Large r = \frac{{f\left( {{x_2}} \right) - f\left( {{x_1}} \right)}}{{{x_2} - {x_1}}}\]
where:
\[\Large f\left( x \right) = 4 \cdot {2^x}\]

Answer 21

Michele _Laino is that for Part A?

Answer 22

it is for parts A, and B
for example, for part A, we can write: \(x_1=1,\,x_2=2\)

Answer 23

oh ok

Answer 24

whereas for part B, we can use the same formula, with \(x_1=3,\,x_2=4\)

Answer 25

so i was correct when i said that part b was 4 times greater than part a

Answer 26

what about the last part for part b explain why one rate of change is greater than the other?

Answer 27

Yes you were correct when you said that

Answer 28

Thanks for helping guys but I don't know who to give the medal to

Answer 29

no problem

Answer 30

please give it to @dr0zier99 he/she worked more than me :)

Answer 31

ima boy

Answer 32

XD

Answer 33

ok! he worked more than me!

Answer 34

still i give medel to u cause u still helped