document.write( "Question 62286: this is for college algebra graph: F(x)= -2/x-3 that is -2 over x-3 \n" ); document.write( "
Algebra.Com's Answer #43027 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
this is for college algebra graph:
\n" ); document.write( "\"F%28x%29=-2%2F%28x-3%29\"
\n" ); document.write( "The degree of the denominator (bottom) is higher than the degree of the numerator (top). Therefore there is a horizontal asymptote of y=0. That means the graph is approaching 0 when you go to the left and right.
\n" ); document.write( "There is a vertical asymptote where it is undefined at x-3=0 --> x=3. That means there is an invisible vertical line at x=3 that the graph doesn't equal. Unfortunately, this program and any calculator below the Ti-84 draws the vertical asymptotes in.
\n" ); document.write( "Pick points to the left and right of x=3 to graph:
\n" ); document.write( "When x=0
\n" ); document.write( "y=-2/(0-3)
\n" ); document.write( "y=2/3 Plot (0,2/3)
\n" ); document.write( "When x=2
\n" ); document.write( "y=-2/(2-3)
\n" ); document.write( "y=-2/-1
\n" ); document.write( "y=2 Plot (2,2)
\n" ); document.write( "When x=4
\n" ); document.write( "y=-2/(4-3)
\n" ); document.write( "y=-2/1
\n" ); document.write( "y=-2 Plot (4,-2)
\n" ); document.write( "When x=5
\n" ); document.write( "y=-2/(5-3)
\n" ); document.write( "y=-2/2
\n" ); document.write( "y=-1 Plot (5,-1)
\n" ); document.write( "Your graph looks like this, you'll need to remove the vertical asymptote at x=3.
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2%2F%28x-3%29%29\"
\n" ); document.write( "Happy Calculating!!!
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