document.write( "Question 234239: What is the vertex of the graph of y = |2x - 3| - 5? What is the range of the function?\r
\n" ); document.write( "\n" ); document.write( "I have tried to graph the given equation and found it to be a straight diagonal line. So my solution/answer to the problems are: a.) no solution for the vertex
\n" ); document.write( "b.) range is infinite.\r
\n" ); document.write( "\n" ); document.write( "Am I right with my answers? I would appreciate it very much if you could show me the step by step solution and the correct answer to the above problems. Please... thanks and God bless. \n" ); document.write( "
Algebra.Com's Answer #172795 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
What is the vertex of the graph of y = |2x - 3| - 5? What is the range of the function?
\n" ); document.write( "You should be able to recognize that the value inside the absolute has to be positive or 0,
\n" ); document.write( "therefore the the range (y) has to be - 5 or greater, right?
\n" ); document.write( ":
\n" ); document.write( "Plot a couple points here
\n" ); document.write( "x = -3
\n" ); document.write( "y = |2(-3) - 3| - 5
\n" ); document.write( "y = |-6 - 3| - 5
\n" ); document.write( "y = |-9| - 5
\n" ); document.write( "Remove the absolutes
\n" ); document.write( "y = 9 - 5
\n" ); document.write( "y = +4
\n" ); document.write( "Plot x/y point -3, +4
\n" ); document.write( ":
\n" ); document.write( "Plot the value so that the value inside the absolute = 0
\n" ); document.write( "x = 1.5
\n" ); document.write( "y = |2(1.5) - 3| - 5
\n" ); document.write( "y = |3 - 3| - 5
\n" ); document.write( "y = 0 - 5
\n" ); document.write( "y = -5
\n" ); document.write( "Plot point x/y : 1.5, -5, the minimum range
\n" ); document.write( ";
\n" ); document.write( "x = +3
\n" ); document.write( "y = |2(3) - 3| - 5
\n" ); document.write( "y = |6-3| - 5
\n" ); document.write( "y = 3 -5
\n" ); document.write( "y = -2
\n" ); document.write( "Plot points x/y +3, -2
\n" ); document.write( ":
\n" ); document.write( "Looks like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+abs%282x-3%29-5%29+\" \n" ); document.write( "
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