Question

The graphs below show four functions: Graph A shows function f of x equals 3 multiplied by 3 to the power of x. Graph B shows function f of x equals 9 to the power of x. Graph C shows function f of x equals 3 multiplied by 3 to the power of negative x. Graph D shows function f of x equals 9 to the power of negative x. Which graph best shows the function f(x) = 3(3)−x to represent the rate at which a radioactive substance decays? (1 point)

Answer 1

graph c

Step-by-step explanation

because i took the test and got it right.

Answer 2

Answer: graph C

Justitication:

f of x equals 3 multiplied by 3 to the power of negative x means exactly
`3 (3^(-x) )`, which is what the question indicates.

So, do not even have to see the graphs, the same statement tells that the graph C is the graph of
`3( 3^(-x))`.

It is used to represent the rate at which a radioactive substance decays because the function decays at a factor of (1/3) as x incresases 1 unit.