Function (mathematics)/Polynomial Function

Polynomial Function

function of a power of variable x that has a general form

$A_n{x}^n+A_{n-1}{x}^{n-1}+...+A_{1}x+A_o{x}^0$

For example

First ordered polynomial function . $Ax+B$

Second ordered polynomial function . $A{x}^2+Bx+C$

nth ordered polynomial function . $A_n{x}^n+A_{n-1}{x}^{n-1}+...+A_{1}x+A_o{x}^0$

Polynomial Function Graphs

1st ordered polynomial function

• $y=x$

x | -3 -2 -1 0 1 2 3

y | -3 -2 -1 0 1 2 3

Straight line goes through origin (0,0) has slope $1$

• $y=3x$

x | -3 -2 -1 0 1 2 3

y | -9 -6 -3 0 3 6 9

Straight line goes through origin (0,0) has slope $3$

• $y=3x+1$

x | -3 -2 -1 0 1 2 3

y | -9 -6 -3 0 3 6 10

Straight line goes through origin (0,0) has slope $3$ and shift upward 1 unit