Lesson 1 Scott’s March Motivation Develop Understanding

Ready

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

1.

If , then:

2.

If , then:

3.

If , then:

4.

If , then:

5.

If , then:

6.

If , then:

7.

If , then:

8.

If , then:

9.

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.

  • Use the differences in the table to check your answer.

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

17.

18.

Is a factor of ? How do you know?

19.

Find .

20.

Is a factor of ? How do you know?

21.

22.

Is a factor of ? How do you know?

23.

Subtract:

24.

Multiply:

25.

Multiply:

26.

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

A parabola facing up with the points (-4,0) and (-2,0) and the positive linear function with the point (-2,0) graphed on a coordinate plane. Both functions share the point (-3,-1). x–5–5–5y555101010000