Consider the points (-3,0), (-2,-3), (0,0), (1,5), and (2,5). map the input and the output values in a diagram. does the diagram represent a function? explain

Answer 1

I would suggest that the answer is yes

Given that the independent variable is #x# then any one #x# plots to only one value of #y#. So you a one to one relationship.

Connecting the points imply that a cubic equation could be derived that fits this plot.

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Answer 2

Eli Assouline

Input values: {-3, -2, 0, 1, 2} Output values: {0, -3, 0, 5, 5}

Yes, the diagram represents a function because each input value (x-coordinate) is associated with exactly one output value (y-coordinate). In other words, no two different input values have the same output value. This satisfies the definition of 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.