Domain of rational function by graphing

The video tutorial covers rational functions, emphasizing the importance of the denominator not being zero. It explains how to find the domain by identifying values that make the denominator zero. The tutorial revisits Algebra 2 concepts, focusing on factoring quadratics to solve equations. It demonstrates solving a perfect square trinomial and discusses different methods like the zero product property and square root method. Finally, it shows how to represent the domain using interval notation, highlighting that the domain excludes values making the denominator zero.

What is a key restriction when dealing with rational functions?

• The function must have a constant term.

• The numerator must be zero.

• The denominator cannot be zero.

• The function must be linear.

How do you determine the values that are not in the domain of a rational function?

• Identify x-values that make the function negative.

• Look for x-values that make the function undefined.

• Find the x-values that make the denominator zero.

• Set the numerator equal to zero.

What is the factored form of the quadratic expression x^2 - 4x + 4?

• (x + 2)^2

• (x - 2)^2

• (x - 4)(x + 1)

• (x - 2)(x + 2)

Which method can be used to solve a perfect square trinomial?

• Synthetic division

• Completing the square

• Zero product property

• Graphing method

How is the domain of a rational function expressed if 2 is not included?

• (2, ∞)

• (-∞, 2]

• [2, ∞)

• (-∞, 2) ∪ (2, ∞)