Arithmetic Course/Function Definition
Appearance
Function
[edit | edit source]Function is a mathematical expression representing the relation of one quantity with another quantity. For example
- Function of one variable f(x)
- Function of two variables f(x,y)
- Function of three variables f(x,y,z)
Basic Functions
[edit | edit source]Straight Line Function
[edit | edit source]f(x) = x
Two-point form
[edit | edit source]Two points also uniquely determine a line. Given points and , we have the equation
This presentation is in the two-point form. It is essentially the same as the point-slope form except we substitute the expression for m.
Parabola Function
[edit | edit source]f(x) = x2
Hyperbole Function
[edit | edit source]f(x) = x3
- y = x3
- x | -2 -1 0 1 2
- y | -8 -1 0 1 8
- A function of a hyperbola that goes through point (0,0)