BEST explanation how to determine domain algebraically

The video tutorial explains how to determine the domain and range of functions, focusing on restrictions such as division by zero and taking the square root of negative numbers. It covers scenarios where expressions are in the denominator or under a radical, and how these affect the domain. The tutorial also discusses the domain of sine and cosine functions, emphasizing their continuity in both positive and negative directions.

What are the two main restrictions on the domain of a function?

• Denominator cannot be negative and radicand cannot be zero

• Denominator must be zero and radicand must be positive

• Denominator cannot be zero and radicand cannot be negative

• Denominator must be positive and radicand must be negative

How do you determine the domain of an expression with a denominator?

• Set the radicand greater than zero

• Set the expression equal to zero

• Set the denominator equal to zero and solve

• Set the numerator equal to zero

What is the domain of the expression X + 3 when placed in the denominator?

• All positive numbers

• All negative numbers

• All real numbers except -3

• All real numbers

How do you determine the domain of an expression with a radical?

• Set the radicand greater than or equal to zero

• Set the radicand not equal to zero

• Set the radicand less than zero

• Set the radicand equal to zero

What is the domain of an expression with a radical in the denominator?

• X not equal to -3

• X equal to -3

• X less than -3

• X greater than -3

What is the domain of the sine function?

• Only negative numbers

• 0 to 360 degrees

• All real numbers

• Only positive numbers

Why can't the denominator of a function be zero?

• It makes the function undefined

• It makes the function negative

• It makes the function positive

• It makes the function zero