### All GMAT Math Resources

## Example Questions

### Example Question #1 : Graphing Inverse Variation

Give the vertical asymptote of the graph of the equation

**Possible Answers:**

**Correct answer:**

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 #2 : Graphing Inverse Variation

Give the -intercept(s), if any, of the graph of the equation

**Possible Answers:**

The graph has no -intercept.

**Correct answer:**

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 #3 : Graphing Inverse Variation

Give the -intercept(s), if any, of the graph of the equation

**Possible Answers:**

The graph has no -intercept.

**Correct answer:**

Set in the equation and solve for .

The -intercept is

### Example Question #4 : Graphing Inverse Variation

Give the horizontal asymptote, if there is one, of the graph of the equation

**Possible Answers:**

The graph of the equation has no horizontal asymptote.

**Correct answer:**

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 #5 : Graphing Inverse Variation

Give the -intercept of the graph of the equation .

**Possible Answers:**

The graph has no -intercept.

**Correct answer:**

Set in the equation:

The -intercept is .

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