Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

10 Questions

0 Views

Functions and Relations Quiz

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Is the set of points {(5,3), (-2, 3), (6, 4), (1,1)} a function?

No, because 3 is repeated in the y-values.

Yes, because all x-values are unique. (correct)

No, because there is a point with duplicate coordinates.

Yes, because it passes the vertical line test.

What is the domain of the points {(3,-4), (2, 9), (3, -1), (1,5)}?

{3, 2, 1, -4}

{1, 2, 3, 4}

{3, 2, 1}

{1, 2, 3} (correct)

What is the range of the given set of points {(5,3), (-2, 3), (6, 4), (1,1)}?

{3, 4, 1}

{0, 1, 3, 4}

{1, 3, 4} (correct)

{1, 3}

Does the graph of a circle centered at the origin represent a function?

No, it does not represent a function due to failing the vertical line test. Signup and view all the answers

What are the intercepts of a straight line graph?

They are points where the line crosses the x-axis and y-axis. Signup and view all the answers

Evaluate f(6) for the function f(x) = 5x - 20.

f(6) = 10. Signup and view all the answers

Calculate g(-3) for g(x) = x² + 5x - 11.

g(-3) = -17 Signup and view all the answers

What is the value of h(-8) if h(x) = |2x + 7|?

h(-8) = 9. Signup and view all the answers

Find the value of f(-1) + g(2) using f(x) = 3x - 5 and g(x) = 5 - x².

f(-1) + g(2) = -8. Signup and view all the answers

Determine f(x) when f(x) = 6.

f(x) = 6 when x = 4. Signup and view all the answers

Study Notes

Problem 7

The set of ordered pairs is {(5,3), (-2, 3), (6, 4), (1,1)}
Is this a function? Yes, each input has only one output.
What is the domain? {5, -2, 6, 1}
What is the range? {3, 4, 1}
What are the intercepts? None

Problem 8

The set of ordered pairs is {(3,-4), (2, 9), (3, -1), (1,5)}
Is this a function? No, the input 3 has two outputs (-4 and -1).
What is the domain? {3, 2, 1}
What is the range? {-4, 9, -1, 5}
What are the intercepts? None

Problem 9

Is this a function? No, it is a circle and hence fails the vertical line test.
What is the domain? All real numbers from -5 to +5
What is the range? All real numbers from -5 to +5
What are the intercepts? (0, 0)

Problem 10

Is this a function? Yes, the graph passes the vertical line test.
What is the domain? All real numbers
What is the range? All real numbers greater than or equal to -2
What are the intercepts? (0, -1)

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your understanding of functions and relations with this quiz. Evaluate ordered pairs to determine if they represent a function and identify their domains, ranges, and intercepts. Perfect for Algebra students studying function properties.