How to find the domain with radical in the numerator

How to find the domain with radical in the numerator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle radicals in fractions, focusing on solving inequalities to determine the domain of a function. It covers the conditions for the radicand and denominator, graphing the solution, and concludes with a discussion on variations of the problem.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be true about the radicand in a radical expression?

It must be equal to zero.

It can be any real number.

It must be greater than or equal to zero.

It must be less than zero.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the condition for the denominator in a fraction?

It cannot be zero.

It must be equal to zero.

It must be less than zero.

It must be greater than zero.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x - 3 ≥ 0, what is the solution for x?

x ≤ 3

x < 3

x ≥ 3

x > 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is zero not defined for the function discussed?

Because zero is greater than three.

Because zero makes the radicand negative.

Because zero is less than three.

Because zero is equal to three.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function discussed in the video?

From -infinity to 0

From 0 to infinity

From -3 to 3

From 3 to infinity