All GMAT Math Resources
Example Questions
Example Question #1 : How To Graph Inverse Variation
Give the vertical asymptote of the graph of the equation
The vertical asymptote is , where is found by setting the denominator equal to 0 and solving for :
This is the equation of the vertical asymptote.
Example Question #1 : Graphing Inverse Variation
Give the -intercept(s), if any, of the graph of the equation
The graph has no -intercept.
The graph has no -intercept.
Set in the equation and solve for .
This is impossible, so the equation has no solution. Therefore, the graph has no -intercept.
Example Question #192 : Graphing
Give the -intercept(s), if any, of the graph of the equation
The graph has no -intercept.
Set in the equation and solve for .
The -intercept is
Example Question #1 : Graphing Inverse Variation
Give the horizontal asymptote, if there is one, of the graph of the equation
The graph of the equation has no horizontal asymptote.
To find the horizontal asymptote, we can divide both numerator and denominator in the right expression by :
As approaches positive or negative infinity, and both approach 0. Therefore, approaches , making the horizontal asymptote the line of the equation .
Example Question #2 : Graphing Inverse Variation
Give the -intercept of the graph of the equation .
The graph has no -intercept.
Set in the equation:
The -intercept is .