Exponential Functions Review

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

Identify the characteristics of exponential growth.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over equal intervals of time, resulting in a rapid increase.

Front

Identify the characteristics of exponential decay.

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over equal intervals of time, resulting in a rapid decrease.

Front

Back

The y-intercept is -2.

Front

Back

The function shows growth.

Front

Back

The model is classified as exponential decay.

Front

What is the formula for compound interest?

Back

The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years.

Front

If Mark took a loan of $25,690 at an interest rate of 5.2% compounded monthly, how much will he have paid after 5 years?

Back

Mark will have paid $33,299.42 after 5 years.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases exponentially.

Front

What does the base in an exponential function represent?

Back

The base in an exponential function represents the growth or decay factor.