Identify if the function represents exponential growth or exponential decay. Then identify it's factor, rate and y-intercept. h(x)=5(1/5)^x

Question

h(x) is an exponential  growthdecay function.

Its  growthdecay factor is .

its  growthdecay rate is  %.

It's y-intercept is .

Answer 1

An exponential function has the general form:

h(x) = a·b^x

1. a is the initial value (when x = 0). It is also the y-intercept
2. b is the exponential factor; growth when b > 1, decay when b < 1
3. x is the exponent and is the variable

Your equation is h(x) = 5·(1/5)^x. What are the values of a and b in your equation? Once you know those, you have enough information to answer the first, second and fourth questions.

For the third question, we can write the exponential factor, b, as b = 1 + rate where rate is the growth or decay rate expressed in decimal or fraction form. Hence b - 1 = rate. Convert it to decimal form and multiply it by 100% to convert it into a percent.