Question

Graph y=-5/x

Answer 1

@ganeshie8

Answer 2

For any function with variable in denominator, set denominator equal to 0 to find the vertical asymptote

here denominator is simply "x" --> x = 0 is the vertical asymptote

Next determine horizontal asymptote by using 3 rules:
1) If exponent of variable on top is bigger than bottom, then horizontal asymptote does not exist
2) If exponent of variable on top is smaller than bottom, then horizontal asymptote is y=0

3) If exponents are the same, then horizontal asymptote = ratio of leading cofficients

here exponent of variable on bottom is bigger since there is no variable on top
so y=0 is asymptote



Note the lines of the graph cannot cross these dotted lines

Finally plot 2 points on either side of vertical asymptote, say x = 2 and -2

y = -5/2 and y = -5/-2 = 5/2