Sketching Graphs of Rational Functions

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Presentation transcript:

Sketching Graphs of Rational Functions PreCalculus Sketching Graphs of Rational Functions

Sketch the Graph x-int DNE y-int –1/2 Vert asympt x = 2 Horiz asympt y = 0

Sketch the Graph x-int 3 y-int –3/2 Vert asympt x = –2 Horiz asympt y = 1

Sketch the Graph x-int 3 y-int DNE Vert asympt x = 0, –4 Horiz asympt y = 1

Sketch the Graph (x + 3)(x – 3) x-int 3, –3 y-int 9/20 Vert asympt x = 4, –5 (x + 5)(x – 4) Horiz asympt y = 1

Sketch the Graph x-int 0, –3 y-int 0 Vert asympt x = 4, –5, 1 Horiz asympt y = 1

Sketch the Graph linear (y=x) or or cubic (y=x3) odd degree reciprocal (y=1/x) even degree reciprocal (y=1/x2) or or

Sketch the Graph (more) x-int 0, 4 y-int 0 Vert asympt x = –1, –3, 1 Horiz asympt y = 1/2