Constant Functions
Key Ideas:
- Define constant functions
- Establish graphical properties of constant functions
A Simple example
Usually in programing we define some constants and give them a name. We can think of these as constant functions.
Constant functions in one variable
As its name suggests, a constant function is a function whose output is constant independent of the input. When we graph a constant function in one variable on the cartesian plane we obtain a horizontal line.
In applications constant functions usually correspond to some form of initial condition, such as the principal in an investment, or an initial cost of production.
Constant functions in two or more variables
When considering constants as functions of two variables we will see that their graph would correspond to just a horizontal plane that cuts the z-axis at the number that the constant represents.