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 |