Rational Functions Algebra 2 8-4.

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Presentation transcript:

Rational Functions Algebra 2 8-4

Rational Functions

Rational Functions

Example

Example

Discontinuity – A value on a graph where the original function is not defined Rational Functions

Asymptote – Vertical line on a graph that a function approaches but never crosses Rational Functions

Rational Functions

Point Discontinuity – A point on a graph where the original function is not defined, like a hole. Rational Functions

Rational Functions - Practice

Rational Graphs

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Graphing Rationals

Graphing Rationals

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Graphing Rationals Process summary Identify any vertical asymptotes (dash line on graph) Identify any horizontal asymptotes (end behavior on graph) Pick point to plot as necessary Smooth line on graph Add holes for any factors that cancelled Graphing Rationals

Graphing Rationals

Graphing Rationals

Graphing Rationals

Graphing Rationals

Graphing Rationals

Graphing Rationals

Pages 597 – 599 18 – 30 even, 36, 40, 45, 51, 59 Graphing Rationals