[Solution] Consider the following functions f(x)=(x+1)/(2x-1) g(x)=(2-x^2)/(x^2+x) h(x)=(x^3)/(x^2-4) Find - The domain. - The vertical, horizontal, or slant
Question: Consider the following functions
- \(f\left( x \right)=\frac{x+1}{2x-1}\)
- \(g\left( x \right)=\frac{2-{{x}^{2}}}{{{x}^{2}}+x}\)
- \(h\left( x \right)=\frac{{{x}^{3}}}{{{x}^{2}}-4}\)
Find
- The domain.
- The vertical, horizontal, or slant asymptotes of the graph.
- The first derivative.
- The relative extrema if possible.
- The interval where the given function is increasing or where it is decreasing.
- Sketch each graph.
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