Lesson Plan

Identify the zeros of a rational function by finding the zeros of the numerator (excluding values where the denominator is also zero)

Identify vertical asymptotes by finding the zeros of the denominator (where no common factor cancels)

Determine horizontal asymptotes by comparing the degrees of the numerator and denominator

Identify removable discontinuities (holes) when a common factor cancels from numerator and denominator

Sketch a rational function using zeros, asymptotes, and sign analysis to determine the behavior in each region

Use technology to graph rational functions and verify hand-analysis of key features

HSF.IF.C.7.d

HSF.IF.C.7.d: (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.