What is the domain of $$f(x) = \frac{1}{x-5}$$ ?

The domain is $$\{x \ne 5\}$$ .

What is the domain of $$f(x) = \frac{x}{x^2-16}$$ ?

The domain is $$\{x \ne -4, 4\}$$ .

What is a linear function?

A linear function is a function that graphs to a straight line and can be expressed in the form $$f(x) = mx + b$$ where m is the slope and b is the y-intercept.

What is the domain of a linear function?

The domain of a linear function is all real numbers, expressed as $$\{-\infty

What is a radical function?

A radical function is a function that contains a variable within a radical (square root, cube root, etc.), typically in the form $$f(x) = \sqrt{x}$$ .

How do you find the domain of a radical function?

To find the domain of a radical function, set the expression inside the radical greater than or equal to zero and solve for x.

What is the difference between a function and a non-function?

A function assigns exactly one output for each input, while a non-function may assign multiple outputs for a single input.

What is a logarithmic function?

A logarithmic function is the inverse of an exponential function and is typically expressed as $$f(x) = \log_b(x)$$ where b is the base.

What is the domain of a logarithmic function?

The domain of a logarithmic function is all positive real numbers, expressed as $$\{x > 0\}$$ .

What is the significance of identifying the domain of a function?

Identifying the domain of a function is crucial because it determines the valid input values for which the function produces real outputs.

Domain from Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

2.

FLASHCARD QUESTION

Front

What is a rational function?

Back

3.

FLASHCARD QUESTION

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify the values of x that make the denominator zero and exclude them from the domain.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is an absolute value function?

Back

7.

FLASHCARD QUESTION

Front

What is the domain of an absolute value function?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

13 questions

Báo 1

Flashcard

•

KG

10 questions

Geography and History Terms

Flashcard

•

8th Grade

10 questions

Narrative Text Essentials

Flashcard

•

8th Grade

9 questions

Advantages of Cloud Storage

Flashcard

•

9th - 10th Grade

11 questions

H Chem: Chemical Analysis

Flashcard

•

KG

10 questions

Untitled Flashcards

Flashcard

•

9th Grade

10 questions

Warm up E9 U5 LB

Flashcard

•

9th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Exponent Rules Review

Quiz

•

8th - 9th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade