Try to answer these questions for our next lesson. Can you suggest an answer to question 3?
Consider the functions given below.
\[f(x)=x^3-2x\qquad g(x)=x^2+4x\qquad h(x)=2x^2+5x-1\]
- Form the six possible rational functions using \(f\),\( g\), and \(h\).
- Which of the rational functions you have produced have horizontal asymptotes? For any functions that have horizontal asymptotes, write down the equation of that asymptote.
- How can you tell when a rational function will have a horizontal asymptote? How can you determine the equation of that asymptote?