Question

Which exponential function is represented by the graph?

Answer 1

Answer:

Step-by-step explanation:

Let's solve this using our formula for exponential functions:

$y=a(b)^x$ where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):

$3=a(b)^0$. Anything raised to the power of 0 is 1, so that means that

a = 3. We will use that value along with the x and y from the second coordinate to solve for b:

$6=3(b)^1$. b to the first is just b, so our equation is

6 = 3b and

b = 2.

Our equation then is

$y=3(2)^x$, the third choice down.