Domain and Restrictions of Functions

Domain and Restrictions of Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Nancy explains how to find the domain of various types of functions, including polynomials, fractions, and those involving square roots. She covers the necessary steps to determine the domain, such as setting denominators not equal to zero and ensuring radicands are non-negative. The video provides examples and interval notation for clarity.

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a function?

The output of a function

All possible x values of a function

All possible y values of a function

The range of a function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a polynomial function like x^2 + 3x + 1?

All real numbers

x > 0

x < 0

x ≠ 0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the domain of a function with a fraction?

Set the denominator not equal to zero

Set the numerator equal to zero

Set the denominator equal to zero

Set the entire fraction equal to zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the denominator of a fraction is x^2 + 5x + 6, what are the restrictions on x?

x cannot be 0

x cannot be -3 or -2

x cannot be 3 or 2

x cannot be 5 or 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a function with a denominator x^2 + 3?

All real numbers

x cannot be 3

x cannot be -3

x cannot be 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the domain of a function with a square root?

Set the radicand less than zero

Set the radicand greater than or equal to zero

Set the radicand equal to zero

Set the radicand greater than zero

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a square root function with radicand x + 1, what is the domain?

x ≤ 1

x ≥ -1

x < -1

x > 1

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