Question

Can anyone help me please?

Answer 1

Write an exponential function that could model the information in this graph.

Answer 2

so this is what i would write as the function?

Answer 3

how would i go about finding that?

Answer 4

my text book skipped out on this section

Answer 5

wait a minute

Answer 6

I think the base is \(2\) not \(e\).

Answer 7

well the coordinates there are (1,2)

Answer 8

i am just confused because my text book completely skipped the explanations and i have to take a test on it :/

Answer 9

(0,1) , (1,2) (2, 4,) (3, 8)
y(0)=1 y(1)=2 y(2)=4 y(3)=8

Answer 10

ok and this information would be plugged in where?

Answer 11

can you work out the pattern


1,2,4,8,

Answer 12

this i understand....

Answer 13

sorry , i was way off before , can you work out the function from the pattern
\[y(x)=\]

Answer 14

i believe so... the information doesn't say that you have to do it any specific way

Answer 15

so what is the pattern ?

Answer 16

the only thing it says is to write the exponential function that can model the graph....

Answer 17

the pattern is that you increase the exponent and get a higher number/

Answer 18

1,2,4,8,...,...,

Answer 19

yes... then it would continue 16, 32... so on and so forth right?

Answer 20

yes this patten can be representes as :

\[y(x)=\quad\dots\]

Answer 21

im a bit lost there

Answer 22

if the pattern was 4,4,4,...,...,
\[y(x)=4\]
_________
if the pattern was 1,2,3,...,...,
\[y(x)=x\]
_________
if the pattern was 1,8,27,...,...,
\[y(x)=x^3\]_________

Answer 23

ok i follow... lemme see if i can figure out the pattern in this one

Answer 24

\[y(x)=x^2\]

Answer 25

right?

Answer 26

this equation
\[y(x)=x^2\]
has the points \[y(0)=0^2=0\qquad (0,0)\]\[y(1)=1^2=1\qquad (1,1)\]\[y(2)=2^2=4\qquad (2,4)\]\[y(3)=3^2=9\qquad (3,9)\]

gives this pattern \(1,4,9,16,25,...\)

Answer 27

but we want the pattern

\(1,2,4,8,16,32,...,...\)

Answer 28

ok let me see ....

Answer 29

don't really know... :(

Answer 30

maybe \[y(x)=x^4\]

Answer 31

try 2 as the base

Answer 32

y(x) = 2

Answer 33

\[y(1)=2^1=2\]

Answer 34

\[y(0)=2^0=1\]

Answer 35

\[y(2)=2^2=\]

Answer 36

im lost again :( I'm so sorry!

Answer 37

\[y(3)=2^3=\]

Answer 38

So the base stays at 2? the x is the only thing that changes

Answer 39

\[y(x)=?\]

Answer 40

is it \[y= (2/e) e ^x\]