Algebra 1 4-4 Graphing a Function Rule

4.5 (1 rating)

by Matthew Richardson

| 28 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

1

10 pts

Solve It! You are paying to print pictures from your digital camera at the photo shop. You choose one size for all your prints. What is one possible graph of the relationship between the total cost and the number of pictures you print?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

2

10 pts

Problem 1 Got It? What is the graph of the function rule?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

3

10 pts

Problem 2 Got It? The function rule below represents the total weight W, in pounds, of a spa that contains g gallons of water. What is a reasonable graph of the function rule, given that the capacity of the spa is 250 gal?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

4

10 pts

Problem 3 Got It? Graph the function rule.

The amount of water w in a wading pool, in gallons, depends on the amount of time t, in minutes, the wading pool has been filling, as related by the function rule w = 3t.

5

5 pts

Problem 3 Got It? Vocabulary: Is the graph for the function rule in the previous item continuous or discrete?

Continuous

Discrete

6

10 pts

Problem 3 Got It? Graph the function rule.

The cost C for baseball tickets, in dollars, depends on the number n of tickets bought, as related by the function rule C = 16n.

7

5 pts

Problem 3 Got It? Vocabulary: Is the graph for the function rule in the previous item continuous or discrete?

Continuous

Discrete

8

20 pts

Problem 4 Got It? What is the graph of the function rule?

9

10 pts

Graph the function rule:

10

10 pts

Graph the function rule:

11

10 pts

Graph the function rule:

12

10 pts

Graph the function rule:

13

20 pts

The function rule h = 18 + 1.5n represents the height, h, in inches, of a stack of traffic cones.

1. Complete the table for the function rule (use a color other than black or blue).

2. Plot the 4 ordered pairs from the table on a graph and use them to construct the line that represents all solutions of the function.

14

5 pts

Vocabulary: Tell whether the relationship should be represented by a continuous or a discrete graph.

The number of bagels b remaining in a dozen depends on the number s sold.

continuous

discrete

15

5 pts

Vocabulary: Tell whether the relationship should be represented by a continuous or a discrete graph.

The amount of gas g remaining in the tank of a gas grill depends on the amount of time t the grill has been used.

continuous

discrete

16

16

10 pts

Error Analysis: Your friend graphs y = x + 3 as shown. Describe and correct your friend's error.

17

18

17

5 pts

Review Lesson 4-3: Is the function shown in the first table linear or nonlinear?

Linear

Nonlinear

18

5 pts

Review Lesson 4-3: Is the function shown in the second table linear or nonlinear?

Linear

Nonlinear

19

10 pts

Review Lesson 3-7: Solve the equation.

Select all that apply.

No solution

12

-5

-2

5

20

10 pts

Review Lesson 3-7: Solve the equation.

Select all that apply.

12

10/3

No solution

-5

-12

21

10 pts

Review Lesson 3-7: Solve the equation.

Select all that apply.

4

No solution

-2

3

-3

22

10 pts

Review Lesson 3-7: Solve the equation.

Select all that apply.

No solution

4

2

-2

-4

23

24

25

26

27

23

5 pts

Enter only a number.

24

5 pts

Enter only a number.

25

5 pts

Enter only a number.

26

5 pts

T

F

27

5 pts

T

F

28

10 pts

Reflection: Math Success

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