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Back to Exercise: Understand that a function is a rule that assigns to each input exactly one output

Exercises: Understand That a Function Assigns Each Input Exactly One Output

Work through each section in order. For each relationship, decide whether it is a function and be ready to explain using the definition: a function assigns to each input exactly one output.

Grade 8·20 problems·~30 min·Common Core Math - Grade 8·container·8-f-a-1
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A

Warm-Up: Review What You Know

1.

A function is a rule that assigns to each input exactly one output. Using the rule "add 5 to the input," what is the output when the input is 8?

2.

Which ordered pair describes a point that is 3 units right and 2 units up from the origin?

A coordinate grid with x- and y-axes from -5 to 5 and one plotted point.
3.

A point is plotted on the coordinate grid shown. Write its location as an ordered pair (x, y).

B

Fluency Practice

Decide whether each relationship is a function.

1.

Is the set of ordered pairs {(1,4),(2,6),(3,8),(4,10)}\{(1, 4), (2, 6), (3, 8), (4, 10)\} a function?

2.

Is the set of ordered pairs {(1,7),(2,7),(3,7),(4,7)}\{(1, 7), (2, 7), (3, 7), (4, 7)\} a function?

A two-column table headed Input and Output with five rows of values.
3.

The input-output table shown lists several inputs with their outputs. Is this relationship a function?

A straight slanted line drawn across a coordinate grid.
4.

Apply the vertical line test to the graph shown. Does the graph represent a function?

A straight up-and-down line drawn across a coordinate grid.
5.

Apply the vertical line test to the graph shown. Does the graph represent a function?

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