Regents Review: Functions

Which table represents a function?

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A relation is graphed on the set of axes below.

Based on this graph, the relation is...

• a function because it passes the horizontal line test

• a function because it passes the vertical line test

• not a function because it fails the horizontal line test

• not a function because it fails the vertical line test

Which relation is not a function?

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• 
• 
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A function is defined as {(0,1),(2,3),(5,8),(7,2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?

• (0, 2)

• (5, 3)

• (7, 0)

• (1, 3)

Marcel claims that the graph represents a function. Is Marcel Correct?

• No because there is an input with more than one output

• Yes because there is an input with more than one output

• No because every input has exactly one output

• Yes because every input has exactly one output

Four relations are shown. Which relations are functions?

• i and ii

• iii and iv

• i and iv

• all are functions

If f(x) = 4x + 5, what is the value of f(-3)?

• -2

• -7

• 17

• 4

The graph of f(x) is shown. What is the value of f(-3)?

• 6

• 2

• -2

• -4

Given f(x) = 3x - 5, which statement is true?

• f(0) = 0

• f(3) = 4

• f(4) = 3

• f(5) = 0

The graph represents a jogger's speed during her 20-minute jog around her neighborhood.

Which statement best describes what the jogger was doing during the 9 − 12 minute interval of her jog?

• She was standing still

• She was increasing her speed

• She was decreasing her speed

• She was jogging at a constant rate