Explore how a constant function assigns the same output to every input. Connect the equation of a constant function to its graph, domain, and range.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Consider the function [math]f(x)=6[/math]. When you calculate [math]f(-5)[/math], does the value [math]-5[/math] belong to the domain or the range of the function? What is the value of [math]f(5)[/math]? Is the result belonging to the domain or the range of the function? [br]
Consider the function [math]f(x)=-2[/math]. Does [math]x=0[/math] belong to the domain of the function? What is the value of [math]f(0)[/math]?
Why are functions like [math]f\left(x\right)=5[/math] called constant functions?