Polynomial Function

A polynomial function is a function in which f(x) is a polynomial in x.

A polynomial function of degree n is written as .

Polynomial functions are defined and continuous on all real numbers.

POLYNOMIALS OF LOW DEGREE
NAME FORM DEGREE
Constant Function
f(x) = a
0
Linear Function
f(x) = ax + b, a ≠ 0
1
Quadratic Function
f(x) = ax2 + bx + c, a ≠ 0
2
Cubic Function
f(x) = ax3 + bx2 + cx + d, a ≠ 0
3
Quartic Function
f(x) = ax4 + bx3 + cx2 + dx + e, a ≠ 0
4