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

by Matthew Richardson

| 10 Questions1

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}

2

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}

3

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.

4

4

5

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

No, it is not a function.

Yes, it is a function.

5

10

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

9

43

3

-2

6

10

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}

7

5

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

f(x) = 2x + 7

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

8

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.

9

9

10

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.

10

10

Reflection: Math Success

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