Introduction to Relations

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Christian Angelo Lira

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Introduction to Relations


Introduction to RelationsVersión en línea Multiple Choice por Christian Angelo Lira 1 Which of the following best defines a relation in mathematics? a A single number used for counting. b A calculation that always results in zero. c A special type of multiplication problem. d A set of ordered pairs showing a relationship between two quantities. 2 Which of the following correctly shows the relation where the first number is the age of a student and the second number is their grade level: (13, 8), (14, 9), (12, 7)? a {13,14,12} b {8,9,7} c {(13,8),(14,9),(12,7)} d (13→8),(14→9),(12→7) 3 A relation is represented by the table below. Which list correctly shows the domain of the relation? a {5,10,6,12,7,14} b {5,6,7} c {10,12,14} d {(5,10),(6,12),(7,14)} 4 What is the range of the relation represented by the ordered pairs: {(1,5),(2,8),(3,5),(4,10)}? a {1,2,3,4,5,8,10} b {1,2,3,4} c {5,8,10} d {5,5,8,10} 5 Which set of ordered pairs correctly represents the data in the table? a {-2,-1,0,1,4,1,0,1} b {(-2,4),(-1,1),(0,0),(1,1)} c {-2,-1,0,1} d {4,1,0,1} 6 A relation is given by the ordered pairs: {(3,6),(5,10),(7,14),(9,18)}. Which list correctly shows the input values for this relation? a {6,10,14,18} b {3,5,7,9} c {(3,6),(5,10)} d {3,5,7,9,6,10,14,18} 7 When a relation is shown on a graph, where are the elements of the range found? a The vertical y-axis b The horizontal x-axis c The origin (0,0) d The slope of the line 8 A relation is represented by a mapping diagram where the input set is {A,B,C} and the output set is {1,2,3}. Which set of ordered pairs could NOT be represented by this relation? a {(A,1),(B,2),(C,3)} b {(A,1),(B,1),(C,1)} c {(A,1),(A,2),(B,3),(C,3)} d {(A,2),(B,3),(C,1)} 9 A function is a special type of relation where each input is paired with exactly one output. Which of the following relations is NOT a function? a {(1,2),(2,3),(3,4),(4,5)} b {(1,5),(2,5),(3,5),(4,5)} c {(0,0),(1,1),(2,4),(3,9)} d {(5,10),(5,12),(6,14),(7,16)} 10 A class is recording the number of hours they study (x) versus their test score (y). If the relation is a function, what must be true about the data? a Every hour studied must result in the same test score. b Every test score must be higher than the number of hours studied. c For each number of hours studied, there is only one corresponding test score. d The number of hours studied must always be less than the test score.

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Introduction to Relations

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Introduction to RelationsVersión en línea

por Christian Angelo Lira

Which of the following best defines a relation in mathematics?

Which of the following correctly shows the relation where the first number is the age of a student and the second number is their grade level: (13, 8), (14, 9), (12, 7)?

A relation is represented by the table below. Which list correctly shows the domain of the relation?

What is the range of the relation represented by the ordered pairs: {(1,5),(2,8),(3,5),(4,10)}?

Which set of ordered pairs correctly represents the data in the table?

A relation is given by the ordered pairs: {(3,6),(5,10),(7,14),(9,18)}. Which list correctly shows the input values for this relation?

When a relation is shown on a graph, where are the elements of the range found?

A relation is represented by a mapping diagram where the input set is {A,B,C} and the output set is {1,2,3}. Which set of ordered pairs could NOT be represented by this relation?

A function is a special type of relation where each input is paired with exactly one output. Which of the following relations is NOT a function?

A class is recording the number of hours they study (x) versus their test score (y). If the relation is a function, what must be true about the data?