Identifying Function Types and Differences

The video tutorial explains how to find successive differences to determine the type of function. It covers linear, quadratic, and cubic functions, highlighting that constant differences indicate the function's order. The tutorial demonstrates finding these differences using a table, concluding that constant second differences signify a quadratic function.

What is the primary purpose of finding successive differences?

• To find the maximum value of a function

• To calculate the area under a curve

• To determine the slope of a line

• To identify the type of function

In a linear function, which differences are constant?

• First differences

• Fourth differences

• Second differences

• Third differences

What is an example of a linear function?

• 4x^2 - 4x + 3

• 5x + 2

• x^3 - 5x + 7

• x^4 + 2x^2 + 1

Which differences are constant in a quadratic function?

• Third differences

• Fourth differences

• Second differences

• First differences

What is an example of a quadratic function?

• x^3 - 5x + 7

• 5x + 2

• 4x^2 - 4x + 3

• x^4 + 2x^2 + 1

In a cubic function, which differences are constant?

• First differences

• Second differences

• Third differences

• Fourth differences

What is an example of a cubic function?

• 4x^2 - 4x + 3

• x^3 - 5x + 7

• 5x + 2

• x^4 + 2x^2 + 1

If the 10th differences are constant, what is the degree of the function?

• 10

• 3

• 2

• 1

What is the first step in finding successive differences from a set of ordered pairs?

• Subtract the y-values from bottom to top

• Multiply the x-values

• Add the y-values

• Divide the x-values

In the example, what is the result of 44 minus 24?

• 40

• 10

• 20

• 30