Below is the graph of a trigonometric function. It has a minimum point at \left(-5.4,1.25\right)(−5.4,1.25)left parenthesis, min
us, 5, point, 4, comma, 1, point, 25, right parenthesis and a maximum point at \left(7.4,6.75\right)(7.4,6.75)left parenthesis, 7, point, 4, comma, 6, point, 75, right parenthesis.
In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.