# GMAT Math : Graphing inverse variation

## Example Questions

### Example Question #1 : Graphing Inverse Variation

Give the vertical asymptote of the graph of the equation       Explanation:

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 #831 : Geometry

Give the -intercept(s), if any, of the graph of the equation    The graph has no -intercept. The graph has no -intercept.

Explanation:

Set in the equation and solve for .    This is impossible, so the equation has no solution. Therefore, the graph has no -intercept.

### Example Question #3 : How To Graph Inverse Variation

Give the -intercept(s), if any, of the graph of the equation     The graph has no -intercept. Explanation:

Set in the equation and solve for .        The -intercept is ### Example Question #832 : Geometry

Give the horizontal asymptote, if there is one, of the graph of the equation  The graph of the equation has no horizontal asymptote.    Explanation:

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 #281 : Advanced Geometry

Give the -intercept of the graph of the equation .

The graph has no -intercept.     Explanation:

Set in the equation:  The -intercept is .

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