SOLUTION: how do you graph f(x) = {x + 2 if x < -2 or 2x - 1 if x greater than or equal to - 2} ??

Algebra ->  College  -> Linear Algebra -> SOLUTION: how do you graph f(x) = {x + 2 if x < -2 or 2x - 1 if x greater than or equal to - 2} ??      Log On


   



Question 56450: how do you graph f(x) = {x + 2 if x < -2 or 2x - 1 if x greater than or equal to - 2} ??
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do you graph
f(x) = {x + 2 if x < -2
or
f(x)=2x - 1 if x >= - 2
------------
Draw the coordinate system with x and y axis.
---------------
Mark an appropriate point as x=-2
-----------------
Graph the part of the line y=x+2 that is to
the left of x=-2.
To do that find two points that are to the left
like (-5,_3) and (-3,-1).Draw a line thru those
two points stopping when you get to x=-2.
----------------
Graph the part of the line y=2x-1 at and to the
right of x=-2. Find two points such (-2,-5)
and (0,-1). Draw a line thru them that goes no
further left than x=-2.
-----------------------
That is the piecewise graph you need.
Cheers,
Stan H.