How do you find the domain and range for y = 1/x?

1 Answer
Daniel L.
Mar 18, 2018

See explanation.

Explanation:

The domain of a function is the largest subset of real numbers (RR), for which the function's value can be calculated.

In the example value can be calculated for every x!=0. If x=0 then you would have to divide by zero, which is not defined. Therfore the domain is: D=RR-{0}.

The range is set of all values y which the function takes.

Here we can say that if x is a positive value close to zero the value of function rises to +oo. On the other hand if x is a negative value close to zero, then the function's value goes to -oo, so the range is:

r=(-oo;0)uu(0;+oo)

We can see both range and domain in the graph:

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

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