MATHS Custom essay

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.
5432
230
xxxxx
     
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.

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