We have a function with an open interval I and x1 and x2 are some points in this interval.
A function is increasing on an interval if, f(x1) < f(x2) when x1 < x2
[tex]f(x_1)This simply means that as the x values increase, the corresponding y values also increase and vice versa.
A function is decreasing on an interval if, f(x1) > f(x2) when x1 < x2
[tex]f(x_1)>f(x_2)\; \; when\; x_1This simply means that as the x values increase, the corresponding y values decrease and vice versa.
A function is constant on an interval if, f(x1) = f(x2)
This simply means that the y values remain the same (constant)