Steps to find the implied DOMAIN of a function

Steps to find the implied DOMAIN of a function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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This video tutorial explains how to find the domain of functions algebraically, focusing on functions with square roots and rational expressions. It provides a step-by-step guide and demonstrates through ten examples, covering basic to complex cases. The tutorial emphasizes the importance of simplification, identifying restrictions, and using graphical methods to understand domain. It also discusses how to write domain in interval notation and handle multiple restrictions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the domain of a function algebraically?

Find the range of the function

Simplify the function

Graph the function

Set the function equal to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function f(x) = x + 4, what is the domain?

x ≠ 0

All real numbers

x < 0

x > 0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dealing with square roots, what must the radicand be?

Not equal to zero

Less than zero

Equal to zero

Greater than or equal to zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function f(x) = 1/(x + 3), which value is excluded from the domain?

x = 3

x = -3

x = 1

x = 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you represent a value that is not included in the domain on a graph?

With a shaded area

With an open circle

With a dashed line

With a filled circle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of f(x) = 1/(x^2 - 4)?

x < -2

x > 2

x ≠ ±2

All real numbers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When combining restrictions, what is a key step?

Solving each restriction separately

Ignoring one of the restrictions

Only considering the denominator

Only considering the numerator

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