RETAKE Exponential Functions Review

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.

Front

What does it mean if a function is classified as Exponential Growth?

Back

Exponential Growth occurs when the function increases over time, typically represented by a base greater than 1.

Front

What does it mean if a function is classified as Exponential Decay?

Back

Exponential Decay occurs when the function decreases over time, typically represented by a base between 0 and 1.

Front

How do you represent a 35% increase in an exponential function?

Back

You represent a 35% increase by using the formula y = initial amount * (1 + rate)^x, where rate = 0.35.

Front

What is the general form of an exponential function?

Back

The general form is y = a(b)^x, where 'a' is the initial amount and 'b' is the growth/decay factor.

Front

If a population grows at a rate of 25% per month, what is the growth factor?

Back

The growth factor is 1.25.

Front

How do you calculate the future value of an investment using exponential growth?

Back

Future Value = Present Value * (1 + growth rate)^number of periods.

Front

What is the initial amount in the function A = 1200(0.85)^6?

Back

The initial amount is 1200.

Front

In the function y = 2(0.5)^x, what does the base 0.5 indicate?

Back

The base 0.5 indicates that the function represents exponential decay.

Front

What is the formula to find the population after a certain number of months with exponential growth?

Back

Population = Initial Population * (1 + growth rate)^number of months.