Graph the equation x^{2}+y^{2}+4x-6y-3=0 in a rectangular coordinate system. If

Eichowa4 2021-11-26 Answered
Graph the equation \(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}+{4}{x}-{6}{y}-{3}={0}\) in a rectangular coordinate system. If two functions are indicated, graph both in the same system.Then use your graphs to identify the relation’s domain and range.

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Expert Answer

Susan Yang
Answered 2021-11-27 Author has 7137 answers

Step 1
Given:
The equation \(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}+{4}{x}-{6}{y}-{3}={0}\)
First using the software graph the function, and then by the analysis of the graph find the domain and range.
image
It is clear from the graph that the domain of the function is \(\displaystyle-{6}{<}{x}{<}{2}\)
and the range of the graph of a function is \(\displaystyle-{1}{<}{y}{<}{7}\)

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