Question

which of the following functions shown in the table below could NOT be an exponential function?

Answer 1

sooo my answers are f and h

Answer 2

h would be an arithmetic sequence wouldnt it ?

Answer 3

im not sure about f ??

Answer 4

define exponential function

Answer 5

all i know is that it doublesss

Answer 6

f(x)=a^x <--- where a is any constant this is a base exponential function

Answer 7

ohhh ok

Answer 8

f and h are right

Answer 9

mmmhhh ok i see then n_n

Answer 10

since the other 2 can wr written as
2^x and 4^-x

Answer 11

ohhhh ok

Answer 12

thank you n_n @dan815

Answer 13

nvm okay

Answer 14

f looks like exponential function right ?

Answer 15

you're welcome

Answer 16

ya it looks like something but i duno gotta check it

Answer 17

f can be quadratic/cubic/any polynomial also...

Answer 18

if we can see that it has a constant 2nd or 3rd diff and so on, then it cannot be a exponential func right

Answer 19

yeah first differences are not equal - so not a quadratic

Answer 20

2nd differences are not equal

Answer 21

the numbers look kinda cool for some reason

Answer 22

i feel like ive seen this difference somewhere

Answer 23

golden ratio differences?

Answer 24

not sure lol, graphing wont tell the difference between polynomial vs exponential

Answer 25

wow ! realy

Answer 26

lol i dnno look at the nmber line it looks too beautiful for some rason, reminds me of fibonnaci spacing or golden ratio spacings

Answer 27

http://www.wolframalpha.com/input/?i=0.67%2C1.11%2C1.82%2C3%2C5.95%2C9.15%2C14.45

Answer 28

what is the derivative of an exponential that is not base e again

Answer 29

y=2^x
ln y = x ln 2
y=e^xln2
y'=e^xln2*ln2
=2^x * ln 2

Answer 30

just messin around not xD dont pay attention

Answer 31

lol okay im inclining toward f = exponential

Answer 32

i agree^

Answer 33

whenever i look at it it reminds me of something to do with e^x

Answer 34

http://www.wolframalpha.com/input/?i=exponential+fit+0.67%2C1.11%2C1.82%2C3%2C5.95%2C9.15%2C14.45%2C...

Answer 35

wolfram gave up on identifying the sequence >.<
http://www.wolframalpha.com/input/?i=0.67%2B1.11%2B1.82%2B3%2B...

Answer 36

lol

Answer 37

screw it just argue with your teacher!!

Answer 38

tell her you can do a hepta fit

Answer 39

http://www.wolframalpha.com/input/?i=exponential+fit+0.67%2C1.11%2C1.82%2C3%2C5.95%2C9.15%2C14.45%2C...
R^2 = 0.9985.. < 0.9989--> which is the R^2 for quartic fit or Cubic fit

Answer 40

therefore it is converging to a polynomial fit before exponential fit