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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 21 Page 526

Division by zero is not defined. This means that the denominator cannot be zero.

Graph:

Domain: All real numbers except $x = 3$
Range: All real numbers except $y = 1$

Practice makes perfect

To graph the given rational function, we will find its domain, asymptotes, and intercepts. We will find points using a table of values. Then, we will plot and connect those points. Finally, we will find the range of the function.

Domain

Consider the given function.

y = \frac{x + 3}{x - 3}

Recall that division by zero is not defined. Therefore, the rational function is undefined where

x - 3 = 0 .

x - 3 = 0 \Leftrightarrow x = 3

This means that

x = 3

is not included in the domain.

\underline{Domain} All real numbers except x = 3

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