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How do you decide whether the relation #y = 13x+1# defines a function?

Answer 1

All linear equations are functions.

Due to the vertical line test, more information in the video below, all linear equations are functions. Since this equation takes the form of #y=mx+b (m=13, b=1)#, this is a linear equation, and thus, a function.

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Answer 2

Abigail Allen

To determine if the relation (y = 13x + 1) defines a function, check if every input ((x)) corresponds to exactly one output ((y)). If each value of (x) produces a unique value of (y), then the relation represents a function. If there is at least one value of (x) that corresponds to more than one value of (y), then it does not define 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.