5.3 curve sketching
Post on 23-Jun-2015
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A Summary of Curve Sketching
What should you consider?
• symmetries• x-intercept• y-intercept• relative extrema• asymptores• concavity• inflection points• intervals of increase• interval of decrease
ASYMPTOTE – VA HA SA
VERTICAL ASYMPTOTE
HORIZONTAL ASYMPTOTE
SLANT ASYMPTOTE
Long divide N(x) by D(x)
Let’s see how that works!!!
Sketch the graph of the equationexample
VA: HA: m = n
-4 4
- + -
Almost Done !!!!
-4 4/3 4
- - + -
Let’ make a list
• x-intercept• y-intercept• VA• HA• SA• f(x) • f(x) • X max• X min
• f(x)
• f(x)
• X infl
Sketch the graph of the equationexample
• x-intercept• y-intercept• VA• HA• SA• f(x) • f(x) • X max• X min
• f(x)
• f(x)
• X infl
• x-intercept• y-intercept• VA• HA• SA• f(x) • f(x) • X max• X min
• f(x)
• f(x)
• X infl
Sketch the graph of the equationexample
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