- Consider with
a. Determine and so that is a criticalvalueof the function
b. Is the point a maximum,a minimumor neither?
In problems#3–6,find all extremaand inflectionpoints.Sketchthe graph.
- Use your graphingcalculatorto examinethe graphof (Hint:you will needto change
the rangein the viewingwindow)
a. Discussthe concavityof the graphin the interval.
b. Use your calculatorto find the minimumvalueof the functionin the interval.
- True or False: has a relativeminimumat and a relativemaximumat
? - If possible,providean exampleof a non-polynomialfunctionthat has exactlyone relativeminimum.
- If possible,providean exampleof a non-polynomialfunctionthat is concavedownwardeverywherein
its domain.
Answers - Thereis a relativeminimumat the relativeminimumis locatedat
- suggeststhat and solvingthis systemwe havethat
; the point is an absolutemax of - Relativemaximumat , relativeminimumat ; the relativemaximumis locatedat
; the relativeminimumis locatedat Thereis a pointof inflectionat.