How to write the domain of a rational function with a radical in the numerator

How to write the domain of a rational function with a radical in the numerator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify and solve restrictions in equations, focusing on two specific restrictions. The first restriction involves ensuring values under a radical are non-negative, while the second checks for non-zero denominators. The tutorial also covers graphing solutions and interpreting results, emphasizing the importance of understanding these concepts in algebra.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first restriction mentioned in the video regarding the expression under the radical?

X must be less than 0

X must be less than or equal to 0

X must be greater than or equal to 0

X must be equal to 0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the square root of a negative number be taken in the real number system?

Because it results in an undefined number

Because it results in zero

Because it results in a positive number

Because it results in a complex number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion is drawn about the quadratic expression X^2 + 1 in terms of restrictions?

It has no restriction in the real number system

It has a restriction at X = 0

It has a restriction at X = -1

It has a restriction at X = 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the only restriction that needs to be considered for the expression?

X is not equal to 1

X is less than 1

X is equal to 1

X is greater than or equal to 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the restriction X ≥ 1 represented on a number line?

A closed circle at 1 with a line extending to the left

An open circle at 1 with a line extending to the right

A closed circle at 1 with a line extending to the right

An open circle at 1 with a line extending to the left