Understanding Exponential Functions

The video explains the concept of exponential functions, highlighting how increasing x by a constant amount results in y values increasing by a constant factor. Through examples, it demonstrates the calculation of exponential growth and provides a basic definition of exponential functions. The video further explores the analysis of successive terms and the role of ratios in determining exponential behavior.

What happens to the y values when x is increased by a constant amount in an exponential function?

• They decrease by a constant factor.

• They increase by a constant amount.

• They remain the same.

• They increase by a constant factor.

What is the general form of an exponential function?

• y = A / r^x

• y = A * x^r

• y = A * r^x

• y = A + r^x

If x is increased by 1 in an exponential function, what happens to y?

• y is divided by r

• y is multiplied by r

• y is subtracted by r

• y is added to r

What is the result of dividing Ar^(b+1) by Ar^b?

• r^(b+1)

• 1

• r^(b-1)

• r

How can you determine if a set of data is exponential?

• By checking if the product of terms is constant.

• By checking if the difference of terms is constant.

• By checking if the sum of terms is constant.

• By checking if the ratio of successive terms is constant.