Algebra 1 4-6 Independent Practice: Formalizing Relations and Functions
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by Matthew Richardson
| 10 Questions
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10
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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10
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the range of the relation.
{-3, -2, -1, 0, 1, 5, 6}
{-2, -1, 0, 1}
{-3, 4, 5, 6}
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10
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.
Functionalized Placeholder
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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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10
What is f(2) for the function f(x) = 4x + 1?
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43
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-2
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The domain of f(x), defined below, is {-4, -2, 0, 2, 4}. What is the range?

{-2, -1, 1, 2}
{-2, -1, 0, 1, 2}
{-8, -4, 0, 4, 8}
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Vocabulary: Write y = 2x + 7 using function notation.
f(x) = 2x + 7
f(x) = {y|y is a Real number, y = 2x + 7}
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20
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.
Functionalized Placeholder
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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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Reflection: Math Success
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