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Difference between a local and an absolute maximum

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Reference no: EM13884516

1.  Explain the difference between a local and an absolute maximum. Are extrema x values or y values?

2. If an odd function f has one local maximum of 5 at x = 3, then what else can be said about f? Explain.

3. If an even function f has an absolute minimum of -6 at x = -2; then what else can be said about f? Explain.

4. Explain how to determine graphically whether a zero of a polynomial is a multiple zero. Sketch examples.

5. Show that the following equation has no rational roots. Explain how you did it.

x5 - x4 - x3 + x2 - 2x + 3 = 0

6. Could a cubic function with real coefficients have only imaginary zeros? Explain

7. Give an example of a polynomial function that has only imaginary zeros and a polynomial function that has only real zeros. Explain how to determine graphically if a function has only imaginary zeros.

Reference no: EM13884516

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