Curve Sketching Michael Freeze MAT 151 UNC Wilmington Summer 2013 - PowerPoint PPT Presentation

Curve Sketching Michael Freeze MAT 151 UNC Wilmington Summer 2013 1 / 10

Section 5.4 :: Curve Sketching 2 / 10

Curve Sketching Make an accurate sketch of the graph the function. Identify any important features such as intercepts, asymptotes, domain, symmetry, relative extrema, and inflection points. f ( x ) = x 5 − 15 x 3 3 / 10

Curve Sketching f ( x ) = x 5 − 15 x 3 200 100 − 4 − 2 2 4 − 100 − 200 4 / 10

Curve Sketching Make an accurate sketch of the graph the function. Identify any important features such as intercepts, asymptotes, domain, symmetry, relative extrema, and inflection points. 3 x f ( x ) = x − 2 5 / 10

Curve Sketching 3 x f ( x ) = x − 2 20 10 − 10 − 5 5 10 − 10 6 / 10

Curve Sketching Make an accurate sketch of the graph the function. Identify any important features such as intercepts, asymptotes, domain, symmetry, relative extrema, and inflection points. 1 f ( x ) = x 2 − 9 7 / 10

Curve Sketching 1 f ( x ) = x 2 − 9 2 1 − 10 − 5 5 10 − 1 − 2 8 / 10

Curve Sketching Make an accurate sketch of the graph the function. Identify any important features such as intercepts, asymptotes, domain, symmetry, relative extrema, and inflection points. f ( x ) = x e − x 9 / 10

Curve Sketching f ( x ) = x e − x 10 5 − 4 − 2 2 4 − 5 − 10 10 / 10