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Which of the following represents a function?

x -10 -9 0 5
y 19 17 25 19

A value 0 in x corresponds to 7 in y, and 52 in y. A value 1 in x corresponds to 4 in y. A value 2 in x corresponds to 16 in y. A value 3 in x corresponds to 7 in y.

{(0,0), (-4,3), (7,1), (-4,5), (3,2)}

A graph plots the points (negative 3, 4), (negative 3, negative 4), (negative 2, 3), (negative 2, negative 3), (negative 1, 0), (1, 0), (2, 3), (2, negative 3), (3, 4) and (3, negative 4) on the x y coordinate plane.

User Ben Lin
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2.2k points

1 Answer

21 votes
21 votes
Answer is the first chart of numbers

x -10 -9 0 5
y 19 17 25 19

✅. Reason: there is only one x for every y value so it will pass the vertical line test

These below are NOT a function

A value 0 in x corresponds to 7 in y, and 52 in y. A value 1 in x corresponds to 4 in y. A value 2 in x corresponds to 16 in y. A value 3 in x corresponds to 7 in y.
❌ no, it has (0, 7) and (0, 52), two same x values

{(0,0), (-4,3), (7,1), (-4,5), (3,2)}
❌no, it has two same x values of -4

A graph plots the points (negative 3, 4), (negative 3, negative 4), (negative 2, 3), (negative 2, negative 3), (negative 1, 0), (1, 0), (2, 3), (2, negative 3), (3, 4) and (3, negative 4) on the x y coordinate plane.
❌ no, it has multiple same x values of -2, -3, 2 and 3.

See attachment showing why the same x value repeated will not be a function because it will not pass the vertical line test

Problem solved!!
Which of the following represents a function? x -10 -9 0 5 y 19 17 25 19 A value 0 in-example-1
User Michele Bontorno
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3.0k points