document.write( "Question 405467: Hi!\r
\n" ); document.write( "\n" ); document.write( "I´ve been struggling on this function for 3 days!\r
\n" ); document.write( "\n" ); document.write( "f(x)=|-2x-2|-|2x-1|\r
\n" ); document.write( "\n" ); document.write( "How can i find:
\n" ); document.write( "Max or min
\n" ); document.write( "y intercept (0,1)
\n" ); document.write( "x intercept
\n" ); document.write( "Hybrid forms
\n" ); document.write( "Range
\n" ); document.write( "Increase
\n" ); document.write( "Decrease\r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Chan
\n" ); document.write( "

Algebra.Com's Answer #286376 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
f(x)=|-2x-2|-|2x-1|
\n" ); document.write( "---
\n" ); document.write( "Find the zeroes:
\n" ); document.write( "x = -1 and x = 1/2
\n" ); document.write( "----
\n" ); document.write( "Draw a coordinate system and plot
\n" ); document.write( "x = -1 and x = 1/2 on the x-axis
\n" ); document.write( "---
\n" ); document.write( "Plot the equation lines for the
\n" ); document.write( "three resulting intervals of x-values.
\n" ); document.write( "---
\n" ); document.write( "f(x)=|-2x-2|-|2x-1|
\n" ); document.write( "If x < -1, -2x-2 is positive and 2x-1 is negative
\n" ); document.write( "so y = -2x-2-(-2x+1) = -3.
\n" ); document.write( "Graph that over the interval (-inf,-1)
\n" ); document.write( "----
\n" ); document.write( "If -1 < x < 1/2, -2x-2 is negative and 2x-1 is negative
\n" ); document.write( "so y = 2x+2-(-2x+1) = 4x+1
\n" ); document.write( "Graph that over the interval (-1,1/2)
\n" ); document.write( "----
\n" ); document.write( "If x > 1/2, -2x-2 is negative and 2x-1 is positive
\n" ); document.write( "so y = 2x+2-(2x-1) = 3
\n" ); document.write( "Graph that over the interval (1/2,+inf)
\n" ); document.write( "==========================
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28-2x-2%29-abs%282x-1%29%29\"
\n" ); document.write( "============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "========\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "How can i find:
\n" ); document.write( "Max or min
\n" ); document.write( "y intercept (0,1)
\n" ); document.write( "x intercept
\n" ); document.write( "Hybrid forms
\n" ); document.write( "Range
\n" ); document.write( "Increase
\n" ); document.write( "Decrease
\n" ); document.write( "-----------------
\n" ); document.write( "
\n" );