Understanding Linear and Exponential Functions

The video tutorial explains how to determine if a table represents an exponential or linear function. It demonstrates that exponential functions involve multiplying Y values by a constant factor, while linear functions involve adding a constant number. Table A is shown as an example of an exponential function, where Y values double as X increases. Table B is used to illustrate a linear function, where Y values increase by adding two each time.

What is a key characteristic of an exponential function?

• Y values are added by a constant number.

• Y values are multiplied by a constant factor.

• X values are divided by a constant factor.

• X values are subtracted by a constant number.

In Table A, what operation is used to go from Y=1 to Y=2?

• Add 1

• Multiply by 2

• Divide by 2

• Subtract 1

How do the Y values change in Table A?

• They are divided by 2 each time.

• They are subtracted by 1 each time.

• They are multiplied by 2 each time.

• They are added by 3 each time.

What type of function does Table A represent?

• Logarithmic function

• Exponential function

• Quadratic function

• Linear function

In Table B, how do the Y values change?

• They are multiplied by 2 each time.

• They are subtracted by 2 each time.

• They are added by 2 each time.

• They are divided by 2 each time.

What type of function does Table B represent?

• Linear function

• Logarithmic function

• Exponential function

• Quadratic function

Why is Table B not an exponential function?

• Because X values are multiplied by a constant factor.

• Because X values are added by a constant number.

• Because Y values are multiplied by a constant factor.

• Because Y values are added by a constant number.

Which table represents an exponential function and why?

• Table B, because Y values are multiplied by a constant factor.

• Table A, because Y values are added by a constant number.

• Table B, because Y values are added by a constant number.

• Table A, because Y values are multiplied by a constant factor.