Chapter 11, Problem 21GR

To determine

Explain when some input values of a function are allowed but other input values are excluded.

Answer to Problem 21GR

Explanation of Solution

Given:

If tickets are required for admission to a show, anyone without a ticket will be excluded. What do you think it means when some input values of a function are allowed but other input values are excluded?

Concept Used:

Rational expression is in the form $\frac{\text{P}}{\text{Q}}$ , where $\text{Q}\ne 0$ , denominator cannot be zero in any rational expression.

Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain.

For example in the function $y=\frac{3x}{2-x}$ and $x=2$ is the excluded value as the function is not defined at this value. So $x=2$ can't go in this function because it will make the function undefined and hence it is excluded.

If $x=2$ don't have a ticket for the show represented by the function $y=\frac{3x}{2-x}$ , so the number of student ( $x=2$ ) without a ticket will be excluded.