SOLUTION: Graph the piecewise function below. Identify the domain and range. f(x) = { x + 2 if x < 0 { x if &#8805; 0 Thank you very much!

Algebra ->  Rational-functions -> SOLUTION: Graph the piecewise function below. Identify the domain and range. f(x) = { x + 2 if x < 0 { x if &#8805; 0 Thank you very much!      Log On


   

Question 1046571: Graph the piecewise function below. Identify the domain and range.
f(x) = { x + 2 if x < 0
{ x if ≥ 0
Thank you very much!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


First plot y = x+2 and y = x on the same set of axes:



Chop off the right part of the graph of y = x+2 at (0,2), 
and put an open circle there to show that it DOES NOT include
that point.

Chop off the left part of the graph of y = x at (0,0), 
and put a closed circle there to show that it DOES include
that point.



Since all real numbers may be substituted for x and a value of y 
obtained, the domain is ALL REAL NUMBERS  %28matrix%281%2C3%2C-infinity%2C%22%2C%22%2Cinfinity%29%29

Since all real numbers can be obtained for y by substituting the
proper value of x, the range is also ALL REAL NUMBERS  %28matrix%281%2C3%2C-infinity%2C%22%2C%22%2Cinfinity%29%29 

Edwin