Question

Explain in a variety of ways how you can distinguish the exponential function f(x)=2x from the quadratic function f(x)=x2 and linear function f(x)=2x. (Hint: compare the rate of change using finite differences in tables of values; identify a constant ratio in the table of values)

Answer 1

Can you differentiate the function or would you like to just know how?

Answer 2

Linear function has same slope all over while quadratic function has a steady increase in slope. (Actually every 1 you go in x, the increase of slope is same-meaning the change of slope is a linear function. Exponential functions have a increase of slope that increase.

Answer 3

i just want you to explain the differences between the three functions

Answer 4

can u relate these to the value given please.

Answer 5

hello...? @jygebs

Answer 6

The table didn't come up

Answer 7

what?

Answer 8

....???

Answer 9

I drew a table wait a sec plz

Answer 10

ok

Answer 11

thank you! is there any other way to differentiate?

Answer 12

um by shape? I guess
Well jsut to retriceyou can find a derivative.
y=2x-->dy/dx=2
y=x^2-->dy/dx=2x
y=2^x-->dy/dx=ln2*2^x
and by doing so we can mathematically calculate the difference of slope.

BUT yeah..

Answer 13

okay any other way?

Answer 14

hello...? @jygebs

Answer 15

Hint: compare the rate of change using finite differences in tables of values; identify a constant ratio in the table of values)

Answer 16

that is what i've created

Answer 17

okay thanks.. any other way?