Question

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)
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. (6 points)

Answer 1

@baru

Answer 2

average rate of change= change in f(x) / change in x

Answer 3

lets find the average rate of change for section A.
if we go from x=0 to x=1, how much has x changed?

Answer 4

1

Answer 5

yes, so 1 is the denominator in the formula for average rate of change

now we need to find how much f(x) changes when we go from x=0 to x=1
to do that find f(x) at x=0 and find f(x) at x=1

what do you get?

Answer 6

i'm not sure

Answer 7

just substitute x=0 and x=1 in f(x)

Answer 8

when x=0
f(x)=2(3)0=?

Answer 9

are you sure you have written the quesiton correctly?
f(x)=2(3)x specifically the (3) part?

Answer 10

i mean \[f(3)^{x}\]

Answer 11

wait one sec

Answer 12

i dont get you...
can you type the whole question

Answer 13

\[f(x)=2(3)^{x}\]

Answer 14

ok,

can you find f(x) when x=0?

Answer 15

no

Answer 16

coz it 0

Answer 17

any number raised to the power 0, is 1

Answer 18

can you find f(x) when x=0 now?

Answer 19

yes bcoz it will be 1 no right?

Answer 20

*now

Answer 21

yes, so
f(x)=?

Answer 22

\[f(x)=2(3)^{0}=?\]

Answer 23

3

Answer 24

\(3^0\)=1

Answer 25

how did you get 3?