Identifying Functions Through Differences

The video tutorial explains how to determine the type of function by analyzing first and second differences. Linear functions have equal first differences, quadratic functions have equal second differences, and exponential functions grow rapidly without consistent differences. The tutorial provides examples of each type and concludes with a review.

What indicates a linear function when examining differences?

• First differences are the same

• Second differences are the same

• First differences are different

• No differences are the same

How can you identify a quadratic function using differences?

• No differences are the same

• First differences are different

• Second differences are the same

• First differences are the same

What is a key characteristic of exponential functions?

• They involve multiplication rather than addition

• They have consistent second differences

• They have no differences

• They have consistent first differences

In the example, what was the second difference for the quadratic function?

• Plus 22

• Minus 22

• Plus 11

• Minus 11

In the quadratic example, what was the change from 11 to 33?

• Plus 44

• Plus 11

• Plus 33

• Plus 22

Which of the following is a sign of an exponential function?

• Slow growth

• Rapid growth

• Consistent subtraction

• No growth

What was the first difference in the exponential function example?

• Plus 10

• Plus 30

• Plus 60

• Plus 90

What was the change from 15 to 45 in the exponential example?

• Plus 10

• Plus 20

• Plus 30

• Plus 40

How do you identify a linear function from differences?

• First differences are inconsistent

• Second differences are consistent

• First differences are consistent

• No differences are consistent

What was the first difference in the linear function example?

• Plus 5

• Plus 7

• Plus 9

• Plus 11