Graph rational functions

Start lessonBegins with Zeros holes and asymptotes · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

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.

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

What you'll learn

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

Review first: