Polynomial functions (HSC SSCE Mathematics Extension 1): Quizzes

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Polynomial Functions
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What defines a polynomial function?

f(x) = a_nx^n + ... + a_0

What is the degree of a polynomial?

Highest power of x

What is true about polynomial graphs?

They are continuous everywhere

What characterizes odd functions?

f(-x) = -f(x)

What is the behavior of even degree polynomials?

Same as x approaches ±∞

What is the derivative of f(x) = x^3?

3x^2

What is a characteristic of cubic polynomials?

Up to three real roots

What do turning points indicate?

Maxima and minima

What is the second derivative test used for?

Analyzing graph behavior

What is the maximum degree of a derivative?

n-1

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