Identifying Function Types and Patterns

The video tutorial explains how to classify functions as linear, quadratic, or exponential using tables. Linear functions have a common difference, quadratic functions have equal second differences, and exponential functions grow by a common ratio. Examples are provided for each type to illustrate these concepts.

What is the main task described in the introduction of the video?

• Drawing graphs

• Classifying functions

• Solving equations

• Finding roots

Which type of function is identified by a common difference?

• Quadratic

• Linear

• Polynomial

• Exponential

If a sequence has a common difference of 3, which function type does it represent?

• Linear

• Quadratic

• Exponential

• Logarithmic

What is the common difference in the sequence: 2, 5, 8, 11?

• 8

• 2

• 3

• 5

What is the main characteristic of a linear function?

• Constant value

• Second differences

• Common difference

• Common ratio

How are quadratic functions identified?

• By second differences

• By first differences

• By constant values

• By a common ratio

What is the second difference in the sequence: 2, 5, 10, 17?

• 1

• 2

• 5

• 3

Which function type does not have a common first difference?

• Logarithmic

• Exponential

• Quadratic

• Linear

Which sequence represents a quadratic function: 1, 4, 9, 16 or 2, 4, 8, 16?

• 1, 4, 9, 16

• 2, 4, 8, 16

• Both

• Neither

What is the first step in identifying a quadratic function?

• Check for a common ratio

• Check for a common difference

• Check second differences

• Check for constant values