Exploring Relations and Functions Vocabulary in Pre-Algebra

The video tutorial covers the basics of relations and functions, focusing on vocabulary and concepts. It explains the difference between linear and nonlinear relations, introduces functions as a special type of relation, and discusses the importance of understanding inputs, outputs, domain, and range. Through examples, the video demonstrates how to plot points on graphs, differentiate between discrete and continuous graphs, and solve problems related to domain and range. The tutorial also includes multiple choice questions to reinforce learning.

What type of relationship forms a straight line?

• Nonlinear

• Linear

• Exponential

• Quadratic

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.1

Which of the following is NOT a way to display relations?

• Ordered pairs

• Graphs

• Tables

• Equations

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

What is a function?

• A set of ordered pairs

• A relationship where every input has only one output

• A type of graph

• A relationship where every input has multiple outputs

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CCSS.HSF.IF.A.1

What is the term for the set of all X values in a function?

• Range

• Output

• Domain

• Dependent variable

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CCSS.HSF.IF.A.1

In Example A, why should the points not be connected?

• Because the points are too close

• Because the points in the middle have no meaning

• Because the graph is continuous

• Because the graph is linear

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CCSS.HSA.REI.D.10

What is the independent variable in Example B?

• Temperature

• Number of days out of school

• Time of year

• Inches of snow

In Example C, what is the dependent variable?

• Weight of the dog

• Height of the dog

• Age of the dog

• Breed of the dog

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CCSS.6.EE.C.9

Which table has the domain of -2, 0, 4, and 5?

• Table 1

• Table 4

• Table 2

• Table 3

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CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Which table has the range of 3 and 4?

• Table 3

• Table 4

• Table 2

• Table 1

Which set of numbers falls within the domain in the last example?

• 1, 5, 10

• 0, 2.5, 4

• 8, 9, 10

• 3, 5, 6

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CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5