Learn how to write the domain of a radical function

Learn how to write the domain of a radical function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the domain of a function by solving inequalities involving the radicand. It covers the use of interval notation, emphasizing the inclusion and exclusion of values using brackets and parentheses. The concept of infinity in interval notation is also discussed, highlighting that infinity is not a number and cannot be included.

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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 function involving a square root?

It can be any real number.

It must be less than zero.

It must be greater than zero.

It must be greater than or equal to zero.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the domain of a function in interval notation if the smallest value is included?

Use parentheses around the smallest value.

Use a comma between the smallest and largest values.

Use a semicolon between the smallest and largest values.

Use brackets around the smallest value.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What symbol is used in interval notation to indicate that a value is not included?

Square brackets

Brackets

Parentheses

Curly braces

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't infinity be included in interval notation?

Because it is a finite number.

Because it is a very large number.

Because it is not a real number.

Because it is a negative number.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In interval notation, what does the use of parentheses around infinity signify?

Infinity is excluded.

Infinity is included.

Infinity is a negative number.

Infinity is a finite number.