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)![]() ![]() ![]() You can put this solution on YOUR website! this is for college algebra graph: \n" ); document.write( " \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( " \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |