Identifying Linear and Exponential Functions

The video tutorial explains how to differentiate between linear and exponential functions using tables. It focuses on analyzing changes in y-values while keeping x-values constant. For exponential functions, a common ratio is identified, indicating multiplication or division between differences. For linear functions, a common difference is observed, indicating consistent addition or subtraction. The tutorial provides examples to illustrate these concepts.

What is the primary focus when determining if a function is linear or exponential from a table?

• The change in y values

• The initial value of y

• The change in x values

• The total number of data points

What does a constant change in x indicate in a table?

• The change in y is constant

• The x values are irrelevant

• The function is linear

• The function is exponential

In the first table, what pattern is observed in the change of y values?

• They increase by doubling each time

• They decrease by a constant amount

• They increase by a constant amount

• They remain constant

How do you determine if a function is not linear from a table?

• By ensuring y values are positive

• By observing non-constant y differences

• By checking if x values are constant

• By checking if x values are negative

What is the term used for the pattern of multiplying by the same number in a sequence?

• Common difference

• Common ratio

• Constant sum

• Constant product

What is the relationship between common ratio and exponential functions?

• Common ratio indicates a linear function

• Common ratio indicates a quadratic function

• Common ratio is irrelevant to function type

• Common ratio indicates an exponential function

What is the significance of a common ratio in a sequence?

• It indicates a linear function

• It indicates an exponential function

• It indicates a quadratic function

• It indicates a constant function

How can you identify an exponential function from a table?

• By identifying a common ratio

• By observing a constant change in x

• By finding a common difference

• By checking if y values are all positive

If a sequence of y values is multiplied by 2 each time, what type of function is it likely to be?

• Linear

• Constant

• Exponential

• Quadratic

Which of the following is NOT a characteristic of an exponential function?

• Variable difference

• Constant difference

• Multiplicative pattern

• Constant ratio