Lesson Plan

Describe a simple rational function's graph (domain, vertical asymptotes, holes, horizontal asymptote, and intercepts) from its equation, and match the function to its graph or to a table of values

Determine the domain by excluding the zeros of the original denominator, and explain why the function is undefined at an excluded value, rather than zero or infinite

Distinguish a vertical asymptote from a hole by whether the responsible factor cancels, state a hole's coordinates, and describe the behavior on each side of a vertical asymptote with a sign or magnitude test

Determine the horizontal asymptote by comparing numerator and denominator degrees

Find the x-intercepts from the numerator's zeros, and the y-intercept as f(0)

"Make connections between a table, an algebraic representation, or a graph of a: • polynomial function, simple rational function, or quadratic or exponential function that involves a transformation, not in context." "Make connections between a table, an algebraic representation, or a graph of a: • polynomial function, simple rational function, or other nonlinear function in a context, or a quadratic or exponential function that involves a transformation in a context."