Concavity

Point of Inflection

Curve SketchingExample: Sketch the graph ofSolution: Critical points, (f(x)=0): x=-1, x=1

f(-1)=0 is local minimum, absolute minf(1)=2 is local max, abs max

Horizontal asymptote: y=1

Applied OptimizationRead the problemDraw a pictureIntroduce variablesWrite equation for the unknown quantityTest the critical points and endpoints in the domain of the unknown

Applied Optimization