Steps to determining the domain of a radical function

Steps to determining the domain of a radical function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of radicals, focusing on the square root. It explains that the radicand must be greater than or equal to zero, as square roots of negative numbers are not defined in real numbers. The tutorial guides students through setting up and solving inequalities to determine the domain of functions involving radicals. It concludes with a discussion on graphing the solution and finding the domain, ensuring students understand the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the condition for a number under a square root to be valid?

It can be any real number.

It must be non-negative.

It must be greater than zero.

It must be less than zero.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does multiplying a radical expression by a continuous function affect its domain?

It makes the domain smaller.

It has no effect on the domain.

It changes the domain completely.

It makes the domain larger.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be the focus when determining the domain of a radical expression?

The number outside the radical.

The entire expression including external factors.

Only the radicand.

The coefficient of the radical.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the inequality 1/4 X - 2 ≥ 0?

X ≥ 4

X ≥ 6

X ≥ 2

X ≥ 8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function given by the inequality 1/4 X - 2 ≥ 0?

X ≥ 8

All real numbers

X > 8

X ≤ 8