Question

Find the exponential function f(x)=Ca^x whose graph goes through the points (0,4) and (2,16).

Answer 1

My beloved friend,

I would help you, but I am a Barcelona fan. :P

Sincerely,

Across

Answer 2

aww cmon

Answer 3

although im a madrid fan, i respect barca

Answer 4

lol

Answer 5

I will give you a hint: When x = 0, then we have\[f(x)=Ca^{0}=C.\]Therefore, C should be 4 such that we obtain the point (0, 4). What should a then be?

Answer 6

2

Answer 7

Try substituting into your expression the values for x and y and see what that tells you.

For instance, if (0,4) is on the graph of f(x)=Ca^x

Then f(0) = 4
i.e., 4 = Ca^0 = C

Now try the other point.

Answer 8

thanks for the help
hala madrid
respect barca lol

Answer 9

also thank you simons

Answer 10

You're correct, Jinnie. ;)

Answer 11

are these baseball teams?

Answer 12

no, football

Answer 13

phillies start in ten minutes!

Answer 14

i don't do sports

Answer 15

You don't know what these teams are?! Jinnie, I think we should get together and linch myininaya. ;P

Answer 16

lol

Answer 17

\[f(0)=C\times a^0=C=4\] soy ou have
\[f(x)=4\times a^x\] now since
\[f(2)=4\times a^2=16\] you get
\[a^2=4\implies a = 2\]

Answer 18

*linch = lynch

Answer 19

good job guys, you were all helpful i dont know who to give best answer to

Answer 20

you can give to all three: satellite,across, and simmons

Answer 21

and the phillies. give them a medal as well

Answer 22

phillies will lose
i'm against them just because satellite is for them

Answer 23

either i am making typos galore, or site is messing up my text...

Answer 24

has baseball made it to arkansas yet?

Answer 25

lol

Answer 26

i don't think arkansas has any professional teams

Answer 27

i could be wrong

Answer 28

a google search finds "arkansas travelers" a minor league team. in truth sports escapes me.