Exponential Functions and Compound Interest

The video tutorial covers exponential functions, including their definition, evaluation, and graphing. It explains how to transform and reflect these functions on the coordinate plane. The tutorial also delves into financial applications, specifically compound interest and annual percentage yield calculations, providing practical examples and calculations.

What is the defining characteristic of an exponential function?

• The function is quadratic.

• The function is linear.

• The exponent is the variable.

• The base is the variable.

How do you evaluate an exponential function?

• By substituting the input into the exponent.

• By multiplying the base by the exponent.

• By dividing the base by the exponent.

• By adding the base and the exponent.

What does the graph of y = 2^x look like?

• A vertical line.

• A curve that increases from left to right.

• A line that decreases from left to right.

• A horizontal line.

What happens to the graph of an exponential function when you add a constant to the function?

• It shifts to the left.

• It shifts to the right.

• It moves up.

• It moves down.

What is the principal in the compound interest formula?

• The number of compounding periods.

• The interest rate.

• The initial amount invested.

• The total amount after interest.

How often is interest compounded if it is done quarterly?

• Once a year.

• Twice a year.

• Four times a year.

• Twelve times a year.

What is the effect of increasing the number of compounding periods per year?

• It decreases the total interest earned.

• It increases the total interest earned.

• It has no effect on the total interest.

• It decreases the principal amount.

What does the annual percentage yield represent?

• The number of compounding periods in a year.

• The principal amount after one year.

• The total amount of interest earned in a year.

• The simple interest rate that yields the same amount as compounding.