It could be a hyperbolic graph, but it does depend on what is in the numerator.
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We set the denominator to zero to find the singularities: points where the graph is undefined.
A line which is the reflection of the original in y = x.
I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
a line graph
Its a picture graph