SOLUTION: How do you Graph the function with domain of all the real numbers: f(x) = 1 for x ≤ 2, and f(x) = -2 for x > 2

Algebra ->  Linear-equations -> SOLUTION: How do you Graph the function with domain of all the real numbers: f(x) = 1 for x ≤ 2, and f(x) = -2 for x > 2       Log On


   

Question 662369: How do you Graph the function with domain of all the real numbers: f(x) = 1 for x ≤ 2, and f(x) = -2 for x > 2
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The solid blue (2,1) point, and the blue line to its left
represent the function for x=2 (f%282%29=1),
and for x%3C2 (y=f%28x%29=1.
The open red circle at (2,-2) shows that
point (2,-2) is not part of the function.
All the points with y=-2 to the right of (2,-2)
are part of the function, with x%3E2, and y=f%28x%29=-2.
I drew the lower blue line from (2.1,-2) to {5,-2)
to make it clear that the line does not reach (2,-1),
but of course there are infinity of points with y=-2
and x just a little larger than 2 that belong to the function.