Algebra 1 4-6 Independent Practice: Formalizing Relations and Functions

By Matt Richardson

Last updated about 2 years ago

10 Questions

Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the domain of the relation.

{-3, -2, -1, 0, 1, 5, 6}

{-2, -1, 0, 1}

{-3, 4, 5, 6}

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Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the range of the relation.

{-3, 4, 5, 6}

{-2, -1, 0, 1}

{-3, -2, -1, 0, 1, 5, 6}

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Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.

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Is the relation in the graph a function? Use the vertical line test.

No, it is not a function.

Yes, it is a function.

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What is f(2) for the function f(x) = 4x + 1?

-2

9

43

3

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The domain of f(x), defined below, is {-4, -2, 0, 2, 4}. What is the range?

{-8, -4, 0, 4, 8}

{-2, -1, 1, 2}

{-2, -1, 0, 1, 2}

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Vocabulary: Write y = 2x + 7 using function notation.

f(x) = {y|y is a Real number, y = 2x + 7}

f(x) = 2x + 7

Compare and Contrast: You can use a mapping diagram or the vertical line test to tell if a relation is a function. Which method do you prefer? Explain.

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Error Analysis: A student drew the dashed line on the graph shown and concluded that the graph represented a function. Is the student correct? Explain.

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10.

Reflection: Math Success

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