Learn how to find the domain for the quotient of two functions

Learn how to find the domain for the quotient of two functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses a mathematical problem involving the expression X^2 + 1 with X - 1 in the denominator. It explains the domain restrictions, emphasizing that values less than one cannot be used, and highlights the issue of dividing by zero when X equals one. The tutorial further explains how to represent the domain using brackets and parentheses, indicating whether a value is included or not. The session concludes with final remarks and instructions to students.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression discussed in the video that involves a denominator?

X^2 + 1 with X - 1 in the denominator

X^2 + 2 with X - 2 in the denominator

X^2 - 2 with X + 2 in the denominator

X^2 - 1 with X + 1 in the denominator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the number one be used in the expression discussed?

It causes division by zero

It makes the expression undefined

It results in a negative number

It leads to an imaginary number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the domain when one is excluded?

It is represented with brackets

It is represented with parentheses

It remains unchanged

It becomes negative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the domain represented when a number is included?

With parentheses

With brackets

With square brackets

With curly braces

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the domain after excluding one?

From negative infinity to zero

From negative infinity to one

From one to infinity

From zero to infinity