Identify if the function represents exponential growth or exponential decay. Then identify it's factor, rate and y-intercept. p(x)=3(2.5)^x

Question

p(x) is an exponential  growthdecay function.

Its  growthdecay factor is .

its  growthdecay rate is  %.

It's y-intercept is .

Answer 1

Starting with the equation p(x)=3(2.5)^x, we can see that the part of the equation to the power of x is 2.5.

Since 2.5 is greater than 1, p(x) will get bigger as x increases ... therefore it is a growth function.

Conversely if the base that is to the power of x was less than 1, p(x) would decrease, and it would be a decay function.

Hope that helps!