Find the domain of a rational function in factored form

The video tutorial covers rational functions, focusing on determining the implied domain by setting the denominator equal to zero. It explains the difference between solving rational and radical equations, emphasizing the zero product property to identify values not in the domain. The tutorial also demonstrates how to represent domain exclusions on a number line and concludes with a brief mention of more complex problems.

What are the two types of functions discussed in the context of implied domain?

• Rational and Radical

• Linear and Quadratic

• Polynomial and Exponential

• Logarithmic and Trigonometric

When solving a rational function, what should you set the denominator equal to?

• Negative Infinity

• 0

• Infinity

• 1

What property is used to solve the equation X - 1 * X + 1 = 0?

• Associative Property

• Zero Product Property

• Distributive Property

• Commutative Property

Which values are not included in the domain of a rational function?

• Values that make the radicand negative

• Values that make the denominator zero

• Values that make the numerator zero

• Values that make the function undefined

How is the domain of a function represented on a number line?

• With arrows for infinite values

• With squares for undefined values

• With closed circles for included values

• With open circles for excluded values