Polynomial functions (HSC SSCE Mathematics Extension 1): Flashcards
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What is a polynomial function?
What is a polynomial function?
A function of the form f(x) = a_nx^n + ... + a_0.
What determines the degree of a polynomial?
What determines the degree of a polynomial?
The highest power of x in the polynomial expression.
What is a characteristic of polynomial functions?
What is a characteristic of polynomial functions?
They are continuous and differentiable everywhere.
Do polynomial functions have vertical asymptotes?
Do polynomial functions have vertical asymptotes?
No, they do not have vertical asymptotes.
What is an odd polynomial function?
What is an odd polynomial function?
A function where f(-x) = -f(x), showing rotational symmetry.
What is an even polynomial function?
What is an even polynomial function?
A function where f(-x) = f(x), showing y-axis symmetry.
What is the degree of a linear polynomial?
What is the degree of a linear polynomial?
The degree is 1 for linear polynomials.
What is the degree of a quadratic polynomial?
What is the degree of a quadratic polynomial?
The degree is 2 for quadratic polynomials.
What does differentiation of polynomials help find?
What does differentiation of polynomials help find?
It helps locate maxima, minima, and inflection points.
What is the highest degree of the derivative of a polynomial?
What is the highest degree of the derivative of a polynomial?
It is degree n-1 for a polynomial of degree n.