Rational Functions: Graphing - Rationals

9 - 4 : Students will be able graph rational functions by simplifying the rational function, then determine the zeros, y-intercepts, vertical and horizontal asymptotes, and holes.

Key Features

Full Graphing Guide

The "Full Graphing Guide" contains a LOT of information. Please refer to the notes section for specific information on what you need to do to graph these functions.

Simplify the function, identify the key features, then graph the function.

Outcome 9-4

Simplify the function, identify the key features, then graph the function.

Outcome 9-4

zeros: N/A y-intercept: (0, 4/3) V. Asymptote: x=-3 H. Asymptote: y=0 Holes: (8, 4/11) Domain: {x|x≠-3, 8} Range: {y|y≠0, 4/11}

Zeros: N/A y-intercept: (0, -8/9) V. Asymptote: x=9 H. Asymptote: y=0 Holes: (2, -8/7) Domain: {x|x≠2, 9} Range: {y|y≠0, -8/7}

Zeros: (4,0) y-intercept: (0, 4/7) V. Asymptote: x=7 H. Asymptote: y=1 Holes: (-7, 11/14) Domain: {x|x≠-7, 7} Range: {y|y≠1, 11/14}

Zeros: (-1, 0) y-intercept: (0, -4/3) V. Asymptote: x=3 H. Asymptote: y=4 Holes: (8, 36/5) Domain: {x|x≠3, 8} Range: {y|y≠4, 36/5}