SOLUTION: f(x)={-2-x if x is less than or equal to 1 {-2+2x if x is > 1

Algebra ->  Test  -> Lessons -> SOLUTION: f(x)={-2-x if x is less than or equal to 1 {-2+2x if x is > 1      Log On


   



Question 670606: f(x)={-2-x if x is less than or equal to 1
{-2+2x if x is > 1

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)={-2-x if x is less than or equal to 1
{-2+2x if x is > 1

f(x) = system%28matrix%282%2C3%2C%0D%0A%0D%0A-2-x%2Cif%2Cx%3C=1%2C%0D%0A-2%2B2x%2Cif%2Cx%3E1%29%29
We plot the graphs of y = -2-x and the graph of y = -2+x

We chop off the line y = -2-x at x=2 and erase the part beyond that on the
right because of x < 1 tells us we can use only the portion of that line which is left of x=1
We chop off the line y = -2+2x at x=2 and erase the part beyond that on the
left because of x > 1 tells us we can use only the portion of that line which is right of x = 1

But that's not all. We must place a CLOSED circle at the end point of
the graph of y=-2-x because of the inequality x<1 and we must
place an OPEN circle at the wnd point of of the graph of y = -2+2x because
of the inequality x>1