Domain with radical in the numerator

The video tutorial explains how to determine the domain of a function with a radical in the numerator and a polynomial in the denominator. It covers the restrictions imposed by the square root in the numerator and the need to factor the denominator to find values that make it zero. The tutorial demonstrates how to apply the zero product property and graph the domain, highlighting the importance of excluding certain values. The session concludes with a practical example to reinforce the concepts.

Why must X be greater than or equal to 0 when dealing with the square root of X?

• Because square roots of negative numbers are positive.

• Because square roots of negative numbers are undefined in real numbers.

• Because square roots of negative numbers are zero.

• Because square roots of negative numbers are negative.

What is the purpose of factoring the quadratic expression in the denominator?

• To find the values of X that make the expression undefined.

• To simplify the expression.

• To find the maximum value of the expression.

• To determine the range of the expression.

Which property is used to find the values that make the product of two binomials equal to zero?

• Commutative Property

• Zero Product Property

• Distributive Property

• Associative Property

When graphing the domain, why is there an open circle at X = 4?

• Because X = 4 is included in the domain.

• Because X = 4 is the minimum value.

• Because X = 4 is not included in the domain.

• Because X = 4 is the maximum value.

How is the domain written in interval notation for this problem?

• [0, 4] ∪ [4, ∞)

• (0, 4) ∪ (4, ∞)

• [0, 4) ∪ (4, ∞)

• (0, 4] ∪ [4, ∞)