Lesson 1Scott’s March MotivationDevelop Understanding

For each problem, place the appropriate inequality symbol between the two expressions to make the statement true.

If , then:

If , then:

If , then:

If , then:

If , then:

If , then:

If , then:

If , then:

If , then:

Set

For problems 10–12, the recursive rule for a polynomial function is given in the form .

• Use the recursive rule to fill in the first 5 values of the function in the table of values.

• Identify the rate of change.

• Classify the type of polynomial function as linear, quadratic, or cubic.

10.

rate of change:

type of polynomial:

Input

Output

11.

rate of change:

type of polynomial:

Input

Output

12.

rate of change:

type of polynomial:

Input

Output

For problems 13–16,

• Find the rate of change for each table of values.

• Write the recursive form of each function. If the rate of change is constant, write in the constant value. If the rate of change is a function, write the equation of the function that describes the rate of change.

• Identify the type of function.

13.

Input

Output

rate of change:

recursive rule:

type of function:

14.

Input

Output

rate of change:

recursive rule:

type of function:

15.

Input

Output

rate of change:

recursive rule:

type of function:

16.

Input

Output

rate of change:

recursive rule:

type of function:

Go

Find the quotient without using a calculator. If you have a remainder, write the remainder as a whole number. Example: r

18.

Is a factor of ? How do you know?

Find .

20.

Is a factor of ? How do you know?

22.

Is a factor of ? How do you know?

Subtract:

Multiply:

Multiply:

26.

The graphs of and are given. Create the graph of .