Understanding Linear and Exponential Functions

The video tutorial explains how to determine if a table represents a linear, exponential, or neither function. It describes the characteristics of linear functions, which have a common difference, and exponential functions, which have a common ratio. The tutorial provides examples of each type and demonstrates how to analyze tables to identify the function type. It concludes with a graphical representation of the functions.

What is the form of a linear function?

• f(x) = ax^2 + bx + c

• f(x) = a/x

• f(x) = mx + b

• f(x) = a * b^x

What indicates a linear function in a table of values?

• Decreasing values

• Increasing values

• A common difference

• A common ratio

In the first table, what is the common difference?

• 3

• 4

• 5

• 6

What is the form of an exponential function?

• f(x) = ax^2 + bx + c

• f(x) = mx + b

• f(x) = a/x

• f(x) = a * b^x

What indicates an exponential function in a table of values?

• Decreasing values

• Increasing values

• A common difference

• A common ratio

In the second table, what is the common ratio?

• 0.3

• 0.2

• 0.4

• 0.5

Why is the third table neither linear nor exponential?

• It lacks both a common difference and ratio

• It has a common ratio

• It has increasing values

• It has a common difference

What is the ratio of 4 to 7 in the third table?

• 4/7

• 4/8

• 4/6

• 4/5

What type of function does the first table represent?

• Linear

• Exponential

• Neither

• Quadratic

What type of function does the second table represent?

• Quadratic

• Neither

• Linear

• Exponential