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Algebra 1 4-4 Complete Lesson: Graphing a Function Rule

By Matt Richardson
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Last updated about 2 years ago
31 Questions
Note 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.
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1.
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.
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2.
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.
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3.
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.
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4.
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.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
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5.
Problem 3 Got It? Vocabulary: Is the graph for the function rule in the previous item continuous or discrete?
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6.
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.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
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7.
Problem 3 Got It? Vocabulary: Is the graph for the function rule in the previous item continuous or discrete?
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8.
Problem 4 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.
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9.
Graph the function rule:
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10.
Graph the function rule:
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11.
Graph the function rule:
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12.
Graph the function rule:
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13.
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.
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14.
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.
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15.
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.
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16.
Error Analysis: Your friend graphs y = x + 3 as shown. Describe and correct your friend's error.
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17.
Review Lesson 4-3: Is the function shown in the first table linear or nonlinear?
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18.
Review Lesson 4-3: Is the function shown in the second table linear or nonlinear?
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19.
Review Lesson 3-7: Solve the equation.
Select all that apply.
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20.
Review Lesson 3-7: Solve the equation.
Select all that apply.
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21.
Review Lesson 3-7: Solve the equation.
Select all that apply.
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22.
Review Lesson 3-7: Solve the equation.
Select all that apply.
5
23.
Enter only a number.
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24.
Enter only a number.
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25.
Enter only a number.
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26.
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27.
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28.
Use Your Vocabulary: Which words mean the opposite of discrete ? Select all that apply.
10
29.
Use Your Vocabulary: Which situation below describes a discrete set?
100
30.
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.
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31.
Reflection: Math Success
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