Lesson 2.1: Relations and Functions Answers

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65

Explain why your relation is a function.

Answer:

My relation is a function because each student is paired with only one age. No student appears with two different ages, so every domain element matches exactly one range element.

66

Which fact(s) did you include in your explanation?

A
Every domain element is paired with only one range element.
B
No two pairs share the same domain element.
67

Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function in your answer.

Answer:

A function has exactly one y-value for each x-value. If a vertical line intersects a graph more than once, that x-value has multiple y-values, so the graph does not represent a function.

68

Compare your response to the sample response above. What did your explanation include?

A
It describes a vertical line passing through the graph more than once.
B
It refers back to the definition of a function.

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