Domain of a rational function with discontinuities

The video tutorial discusses rational functions, emphasizing the importance of not simplifying fractions incorrectly. It explains how to identify restrictions in the domain by setting the denominator equal to zero and solving for the values that make it undefined. The tutorial also covers graphing these restrictions on a number line and writing the domain in interval notation.

Why is it incorrect to divide terms in a fraction without proper justification?

• It simplifies the expression correctly.

• It can lead to incorrect results.

• It is a common practice in mathematics.

• It makes the problem easier to solve.

What must be true about the denominator of a rational function?

• It must be greater than zero.

• It should be a positive integer.

• It can be any number.

• It must not equal zero.

How do you determine the values that make the denominator zero?

• By looking at the numerator.

• By using a calculator.

• By setting the denominator equal to zero and solving.

• By guessing the values.

What is the domain of a function with discontinuities?

• Only negative numbers.

• Only positive numbers.

• All real numbers.

• Intervals excluding points where the function is undefined.

How can you visually represent the domain of a function with discontinuities?

• By drawing a pie chart.

• By using a number line.

• By writing a paragraph.

• By creating a bar graph.