Given a graph of a rational function write the function. In this lesson I want to go over ten 10 worked examples with various levels of difficulty. Cross-multiplication simply means multiplying one fractions numerator by the others denominator and vice versa.
Intro Harder Probs Graphs.
But warning as soon as you start skipping steps or doing stuff in your head youre going to start messing up. F x g x x - 2 g x which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. Finally check your solutions and throw out any that make the denominator zero. So if we were to rewrite it this is equivalent to x squared minus-- instead of writing x squared minus 4 we know thats a difference of squares.