Biggest Mistake For Domain Radical Function

The video tutorial explains how to find the domain of a square root function by setting the radicand greater than or equal to zero and solving the resulting inequality. It demonstrates solving the inequality using inverse operations and verifies the domain by testing values. The tutorial concludes with a discussion on interval notation and emphasizes the importance of verifying solutions to avoid mistakes.

What is the first step in finding the domain of a square root function?

• Solve for y

• Set the radicand greater than or equal to zero

• Set the radicand less than zero

• Multiply the radicand by zero

When solving the inequality 3 - 6x ≥ 0, what should you remember if you multiply by a negative number?

• Subtract 1 from both sides

• Flip the inequality sign

• Keep the inequality sign the same

• Add 1 to both sides

What is the domain of the function 3 - 6x under the square root?

• x ≤ 1/2

• x < 1/2

• x ≥ 1/2

• x > 1/2

Which number is a good choice to test if it is within the domain of the function?

• 2

• 0

• 1

• -1

How is the domain represented in interval notation for the function discussed?

• (-∞, 1/2]

• [1/2, ∞]

• [1/2, ∞)

• (-∞, 1/2)