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polynomial function

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1) Which of the following is/are TRUE for the graph of EVERY polynomial function?

It must have either a minimum or a maximum value
It must be continuous
It must have a y-intercept
It must have at least one x-intercept

2) Which of the following are odd degree polynomials?

x(x-4)^2-11
x^3+x^2-4
(x^2+2)^5+2x
x^5+x^7+x^8+2
x^3+x-11
x^5+4
x^5+x+1/x

3) Is f(x)=13^x+3x^8-12x+16 a polynomial function?

Is f(x)=12x^17/9+13x-4 a polynomial function?

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Solution Summary

This solution examines characteristics of polynomial functions.

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