Identifying Functions: Linear, Exponential, or Quadratic

What pattern is observed in linear functions from tables?

• Subtraction of a constant value

• Addition of a constant value

• Multiplication by a constant value

• No consistent pattern

How do you determine if a function is linear based on a table of values?

• Constant ratio of changes in y-values

• Constant difference between consecutive y-values

• Increasing differences in y-values

• Decreasing differences in y-values

In the context of exponential functions, what operation is repeatedly applied to the input values?

• Division

• Multiplication

• Subtraction

• Addition

What correction was made to the exponential function example in the video?

• No corrections were made

• Changed values from 8 to 16 and 16 to 32

• Changed values from 4 to 8 and 8 to 16

• Changed values from 10 to 16 and 12 to 32

Which operation characterizes the change in y-values for exponential functions?

• Addition

• Division

• Multiplication

• Subtraction

What incorrect pattern was initially considered for the exponential function before correction?

• Adding the same number

• Subtracting the same number

• Dividing by the same number

• Multiplying by a variable number

What is the key feature of quadratic functions discussed in the video?

• Constant first difference

• Constant second difference

• Variable second difference

• No differences

What does the second difference being constant signify in a function's classification?

• Exponential

• None of the above

• Quadratic

• Linear

How is the concept of 'second difference' used to identify function types?

• To confirm exponential growth

• To confirm linear progression

• To confirm quadratic nature

• It is not used for identification

In the examples given, what pattern confirms a function as linear?

• Subtracting a constant

• Adding a constant

• Dividing by a constant

• Multiplying by a constant