Given that Domain of the rational function is all real numbers. So the rational function should not contain denominator part.

True or False. The graph of a rational function may intersect a horizontal asymptote.

Use substitution to convert the integrals to integrals of rational functions. Then use partial fractions to evaluate the integrals. ${\displaystyle \int \frac{\cos x}{\sin x(1-\sin x)}dx}$

All polynomials are rational functions, that perhaps I should just imagine them as "over 1". Good. But the definition of a rational function has the concept of "ratio" in it. And when I found this:
A cylinder has a volume of ${\displaystyle (x+3)(x^2-3x-18)\pi }$ cubic centimeters. Find the height of the cylinder.
I wondered how this is a ratio of any sort?(It can't be a ratio of the expression over 1) So if ${\displaystyle a=(x+3),b=(x^2-3x-18)}$, and ${\displaystyle c=\pi }$,
can we say a,b,c are "in a ratio," i.e., a:b:c?

Calculate all the points of discontinuity of $\frac{v^2-23v+132}{(v^2-4v-5)(v^3+14v^2+55v+42)}$.

Given ${\displaystyle f\left(x\right)=3x+4\text{and}g\left(x\right)=\sqrt{x}}$, calculate g(f)

The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits. $\underset{x\to \mathrm{\infty }}{lim}\frac{((x^{-1})+(x^{-4}))}{((x^{-2})-(x^{-3}))}$

Find Infinite limit (Rational Function)
 $\underset{x\to 5}{lim}(\frac{1}{x^{4/3}}-\frac{1}{(x-5{)}^{4/3}})$