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What is the domain and range of #y= 1/2x#?

Answer 1

Hazel Anglin

graph{y=1/2x [-10, 10, -5, 5]}

Domain: all real numbers or
using interval notation: (-infinity, infinity)

Range: all real numbers or
using interval notation: (-infinity, infinity)

If you look at the graph, you will see that all x-values are included in the domain, which is the set of all x-values.

If you look at the graph, you will see that all y-values are included in the domain, which is the set of all y-values.

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Answer 2

Ethan Adkins

The domain of the function y = 1/2x is all real numbers except x = 0, since division by zero is undefined. The range of the function is also all real numbers, as the output (y) can take on any value depending on the input (x).

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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.