Question

The graphs below show four functions:

Answer 1

Please post the whole question..

Answer 2

Which graph best shows the function f(x) = 3(3)-x to represent the rate at which a radioactive substance decays?
(A) Graph A
(B) Graph B
(C) Graph C
(D) Graph D

Answer 3

Is this C? @ganeshie8 @hartnn @ParthKohli @iambatman

Answer 4

if it is
\(\Large 3^{3-x}\)
then no

Answer 5

Oh, ok. Well, a graph that shows decay is negative, right?

Answer 6

^^^

Answer 7

Correct. Decay = Negative

Answer 8

So which one's can we take out?

Answer 9

is it
\( 3^{3-x} \)
?

Answer 10

Srry this is actually 3(3)^(-x)

Answer 11

@hartnn I think it's \(f(x) = 3(3)^{-x}\).

Answer 12

Which lines can you take out since you know that the line must be negative?

Answer 13

\[3(3)^{-x}\]

Answer 14

ok, then C is correct :)

Answer 15

Yes..

We can take out A & B, since they are positive..

\(f(x) = 3(3)^{-x}\)

The 3 before the parenthesis tells us the y-intercept..which is 3..and line C has a y-intercept of 3..so it must be our answer.

Answer 16

We can take out A and B

Answer 17

And D has a y-intercept of 1..so it can't be our answer.

Answer 18

Yup that's what I said first. My answer was C, but the way I typed the expression was incorrect. Then I typed it the correct way. :)

Answer 19

:)