Algebra 1 4-4 Complete Lesson: Graphing a Function Rule
By Matt Richardson
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Last updated almost 3 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.
10 points
10
Question 1
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.
F.IF.5
A.REI.10
10 points
10
Question 2
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.
F.IF.5
N.Q.1
A.REI.10
10 points
10
Question 3
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.
F.IF.5
N.Q.1
A.REI.10
10 points
10
Question 4
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.
F.IF.5
A.REI.10
5 points
5
Question 5
5.
Problem 3 Got It?Vocabulary: Is the graph for the function rule in the previous item continuous or discrete?
F.IF.5
A.REI.10
10 points
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Question 6
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.
F.IF.5
N.Q.1
A.REI.10
5 points
5
Question 7
7.
Problem 3 Got It?Vocabulary: Is the graph for the function rule in the previous item continuous or discrete?
F.IF.5
A.REI.10
20 points
20
Question 8
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.
F.IF.5
A.REI.10
10 points
10
Question 9
9.
Graph the function rule:
F.IF.5
A.REI.10
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Question 10
10.
Graph the function rule:
F.IF.5
N.Q.1
A.REI.10
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Question 11
11.
Graph the function rule:
F.IF.5
A.REI.10
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Question 12
12.
Graph the function rule:
F.IF.5
A.REI.10
20 points
20
Question 13
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.
F.IF.5
N.Q.1
A.REI.10
5 points
5
Question 14
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.
F.IF.5
A.REI.10
5 points
5
Question 15
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.
F.IF.5
A.REI.10
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Question 16
16.
Error Analysis: Your friend graphs y = x + 3 as shown. Describe and correct your friend's error.
F.IF.5
A.REI.10
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Question 17
17.
Review Lesson 4-3: Is the function shown in the first table linear or nonlinear?
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Question 18
18.
Review Lesson 4-3: Is the function shown in the second table linear or nonlinear?
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Question 19
19.
Review Lesson 3-7: Solve the equation.
Select all that apply.
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Question 20
20.
Review Lesson 3-7: Solve the equation.
Select all that apply.
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Question 21
21.
Review Lesson 3-7: Solve the equation.
Select all that apply.
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Question 22
22.
Review Lesson 3-7: Solve the equation.
Select all that apply.
5 points
5
Question 23
23.
Enter only a number.
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5
Question 24
24.
Enter only a number.
5 points
5
Question 25
25.
Enter only a number.
5 points
5
Question 26
26.
5 points
5
Question 27
27.
10 points
10
Question 28
28.
Use Your Vocabulary: Which words mean the opposite of discrete ? Select all that apply.
10 points
10
Question 29
29.
Use Your Vocabulary: Which situation below describes a discrete set?
100 points
100
Question 30
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.
