Flashcard 4 Practice- Growth and Decay functions

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Front

What function can be used to determine the monthly cell phone sales x months after January if sales increase at a rate of 3.75% per month?

Back

f(x) = 417(1.0375)^x

Front

How do you determine if a graph represents growth or decay?

Back

If the function's base is greater than 1, it represents growth; if less than 1, it represents decay.

Front

What is the decay factor for a population decreasing at a rate of 5%?

Back

.95

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^x, where 'a' is the initial amount and 'r' is the growth rate.

Front

What is the general form of an exponential decay function?

Back

f(x) = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.

Front

If a population of 1000 decreases by 10% each month, what is the population after 1 month?

Back

f(1) = 1000(0.90)^1 = 900.

Front

What does the term 'exponential growth' mean?

Back

A process where the quantity increases at a rate proportional to its current value.

Front

What does the term 'exponential decay' mean?

Back

A process where the quantity decreases at a rate proportional to its current value.

Front

How can you identify the y-intercept of an exponential function from its equation?

Back

The y-intercept is the value of 'a' when x = 0.