Exponential Functions and Their Properties

The video tutorial explains how to determine the base of an exponent in an exponential function using a table of values. It describes the form of an exponential function and how the base indicates growth or decay. By analyzing the table, it is shown that the function represents exponential growth with a base of six, as the values increase by a factor of six for each change in x.

What is the general form of an exponential function?

• Y = A - B * X

• Y = A + B * X

• Y = A * B^X

• Y = A / B^X

In the given table, what pattern do the Y values follow as X increases?

• They increase exponentially.

• They remain constant.

• They decrease linearly.

• They decrease exponentially.

What does a base greater than one in an exponential function indicate?

• Constant value

• Exponential growth

• Exponential decay

• Linear growth

If the base of an exponential function were less than one, what would this indicate?

• Exponential decay

• Constant value

• Exponential growth

• Linear growth

By what factor does the Y value grow for each increase in X in the given table?

• By a factor of 6

• By a factor of 8

• By a factor of 4

• By a factor of 2

What is the base of the exponential function represented in the table?

• 2

• 4

• 6

• 8

How does the Y value change from 1/3 to 2 in the table?

• It remains the same.

• It increases by a factor of 6.

• It triples.

• It doubles.