How do you determine if #2x+y=7# is a function?

Answer 1

A function is anything that can pass the vertical line test, or when for every "y" there is only one "x" value. Typically, all lines are functions.

2x+y=7 is a function because it is in the form of y=mx+b (slope-intercept form). If you rewrite the function, you should get y= -2x+7.

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Answer 2

Jameson Allen

To determine if the equation 2x + y = 7 represents a function, you need to check if for every value of x, there is only one corresponding value of y. One way to do this is by solving the equation for y in terms of x. If you can express y as a unique function of x, then the equation represents a function. If there are multiple values of y for a single value of x, then the equation does not represent a function.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.