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Student Press: Survey Pair Checks worksheet preview

Worksheet

Student Press: Survey Pair Checks

Analyze student-opinion survey tables, rules, and graphs to identify functions and interpret input-output pairs.

Grade 8MathInteractive · Printable

Aligned to8.F.A.1

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students identify functions by checking that each input has exactly one output.
  • Students interpret a function graph as a set of input-output pairs.
  • Students explain why reversing survey inputs and outputs can change whether a relation is a function.

How to use

Use after introducing inputs and outputs. Have students mark repeated inputs in tables, then connect their findings to the plotted pairs.

Curriculum

Common Core standard covered

8.F.A.1

Understand a function as a rule giving exactly one output for each input, with its graph as the set of input-output pairs.

Preview

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Name Date

Student Press: Survey Pair Checks

Decide when survey records define a function.

Check the Survey Records

The school newspaper is surveying student opinions. For each relation, use the stated input and output. Judge only the records shown.

1.
Each surveyed student has a unique ID. The input is student ID, and the output is the student's preferred article topic. Does this table define a function?
Article Preferences
Student IDPreferred topic
201School news
202Reviews
203School news
204Interviews
  • A. Yes; every student ID has one topic.
  • B. No; two students chose the same topic.
  • C. No; the outputs must all be numbers.
  • D. Yes; every topic has one student ID.
2.
The input is grade level, and the output is a student's preferred survey format. Which input has two different outputs?
Survey Format Preferences
Grade levelPreferred format
6Paper
7Online
8Online
7Paper

The input is  .

3.
An editor makes a new rule: input an article topic, and output the number of students who chose it. Does this rule define a function?
Topic Totals
Article topicNumber of students
School news18
Reviews12
Interviews12
Opinion15
  • A. Yes; each topic has exactly one count.
  • B. Yes; each count has exactly one topic.
  • C. No; two topics have the same count.
  • D. No; a topic cannot be an input.
4.
Sort these proposed survey rules. Each student's ID identifies exactly one student.
Input a student ID; output that student's one selected headline.Input an article topic; output every ID of the three students who chose it. Each ID is a separate output.Input a grade level; output the total number of survey responses from that grade.Input student ID 319; output both ratings, 2 and 4, that appear in conflicting records.
FunctionNot a function
5.
The input is student ID, and the output is an interest rating. Which single row could be added without making the relation fail to be a function?
Interest in a New Opinion Column
Student IDInterest rating
4112
4124
4132
  • A. Add student ID 413 with rating 5.
  • B. Add student ID 414 with rating 2.
  • C. Add student ID 412 with rating 1.
  • D. Add student ID 411 with rating 3.

Read the Plotted Opinions

Opinion codes are −2 (strongly oppose), −1 (oppose), 0 (neutral), 1 (support), and 2 (strongly support). Each graph contains only the plotted pairs; do not connect the points.

6.
The input is a student's code for a longer lunch period. The output is that student's code for a later school start. What output is paired with input −1?−3−2−11230−3−2−1123PQRSLunch codeStart code

The output is  .

7.
Use the graph in Question 6. Which statement correctly describes its set of pairs?
  • A. It is a function because each plotted output has one input.
  • B. It is not a function because some coordinates are negative.
  • C. It is a function because each plotted input has one output.
  • D. It is not a function because P and S share an output.
8.
Here the input is an opinion code for quiet lunch spaces, and the output is a code for outdoor lunch spaces. Which pair of points shows that the output is not a function of the input?−3−2−11230−3−2−1123ABCDQuiet codeOutdoor code
  • A. Points A and D show the conflict.
  • B. Points A and B show the conflict.
  • C. Points B and C show the conflict.
  • D. Points C and D show the conflict.
9.
The graph below defines a function from print-edition opinion code to online-edition opinion code. Select every new pair that could be added individually while keeping it a function.−3−2−11230−3−2−1123JKLPrint codeOnline code

(−1, 2)(0, 1)(1, −1)(2, −2)

Make the Editor's Decisions

Apply the function definition to new survey tasks. Pay attention to which quantity is the input.

10.
The newspaper turns an interest rating into a follow-up question count. Ratings 1 and 2 each give 1 question; rating 3 gives 2 questions; ratings 4 and 5 each give 3 questions. Which graph contains exactly this rule's input-output pairs?
  • A. {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}
  • B. {(1, 1), (2, 1), (3, 2), (4, 3), (5, 3)}
  • C. {(1, 1), (1, 2), (2, 3), (3, 4), (3, 5)}
  • D. {(1, 1), (2, 1), (3, 2), (4, 3), (5, 2)}
11.
The editor wants the following pairs to define a function. The input is interest rating, and the output is the number of follow-up questions. What number must replace the question mark?
Follow-Up Records
Interest ratingFollow-up questions
10
32
54
3?

The missing output must be  .

12.
A survey chart has input-output pairs (1, 4), (2, 4), (3, 4), and (4, 4). The input is interest rating; the output is the recommended number of article choices to show. Which description of its graph is correct?
  • A. Four points share y-coordinate 4, so it is not a function.
  • B. Four points share x-coordinate 4, so it is not a function.
  • C. Four points share x-coordinate 4, so it is a function.
  • D. Four points share y-coordinate 4, so it is a function.
13.
The editor records these pairs as (student ID, opinion code): (521, 1), (522, −1), (523, 1). This relation is a function. Noor says that reversing every pair must also give a function because no survey information changes. Is Noor correct? Use the reversed pairs to explain your reasoning.

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