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Select True or False for each statement.TrueFalseA straight line on a coordinate plane always represents a function.The equation y = 2x + 1 represents a function.1

Select True or False for each statement.TrueFalseA straight line on a coordinate plane-example-1
User AaronDanielson
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1 Answer

24 votes
24 votes

1. In a function, every input value is related to only one output value. In consequence, a straight line on a coordinate plane where the line is perpendicular to the x-axis is not a function because the only input value would be related to infinitely many outputs.

A straight line on a coordinate plane always represents a function. False

2. Every line on a coordinate plane that is not perpendicular to the x-axis represents a function. This kind of line has the form: x = constant. The equation y = 2x + 1, has not this form, therefore it is not perpendicular to the x-axis. In consequence, The equation y = 2x + 1 represents a function is True

User Neal Stublen
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