Domain of Rational Radical Function

The video tutorial explains how to determine domain restrictions for functions involving rational expressions and square roots. It covers identifying values that make the denominator zero and ensuring the expression under a square root is non-negative. The instructor corrects a mistake in the calculation and emphasizes the importance of verifying solutions. The domain is expressed using intervals and union symbols, with a focus on understanding open and closed intervals.

What must be true about the denominator in a rational function to avoid undefined values?

• It must be equal to zero.

• It must be greater than zero.

• It must be less than zero.

• It must not equal zero.

Why can't the expression under a square root be negative?

• Because it results in an undefined value.

• Because it results in a positive number.

• Because it results in a zero value.

• Because it results in a complex number.

What is a useful tool for visualizing domain restrictions?

• A graph

• A number line

• A table

• A pie chart

What should you do if you find a mistake in your domain calculations?

• Ignore it

• Recalculate and verify

• Ask someone else to solve it

• Use a calculator

How do you denote an open interval in interval notation?

• Using square brackets

• Using curly braces

• Using parentheses

• Using angle brackets