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#Function domain and range calculator how to#

As `x` increases value from `-2`, the top will also increase (out to infinity in both cases).ĭenominator: We break this up into four portions: To work out the range, we consider top and bottom of the fraction separately. So the domain for this case is `x >= -2, x != 3`, which we can write as `[-2,3)uu(3,oo)`. (Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign). In general, we determine the domain of each function by looking for those values of the independent variable (usually x) which we are allowed to use.

#Function domain and range calculator how to#

For a more advanced discussion, see also How to draw y^2 = x − 2.

We saw how to draw similar graphs in section 4, Graph of a Function.

This indicates that the domain "starts" at this point.

The enclosed (colored-in) circle on the point `(-4, 0)`.

This will make the number under the square root positive. The only ones that "work" and give us an answer are the ones greater than or equal to ` −4`. To see why, try out some numbers less than `−4` (like ` −5` or ` −10`) and some more than `−4` (like ` −2` or `8`) in your calculator. The domain of this function is `x ≥ −4`, since x cannot be less than ` −4`. Need a graphing calculator? Read our review here: