Easy Mapping Diagram Examples for Beginners in Grade 8 Math

📚 Quick Study Guide

🔢 Mapping Diagram Basics: A mapping diagram visually represents a relation between two sets. One set is the input (domain), and the other is the output (range). 📈 Domain: The set of all possible input values (usually $x$-values). 🎯 Range: The set of all possible output values (usually $y$-values). 🔗 Relation: A set of ordered pairs. Each pair connects an input value from the domain to an output value in the range. 🗺️ Mapping: Arrows are used to map elements from the domain to their corresponding elements in the range. Each arrow shows the relationship between an input and its output. 💡 Multiple Mappings: One element in the domain can map to only one element in the range for it to be a function. However, multiple elements in the domain can map to the same element in the range. 📝 Example: If the relation is {(1, 2), (3, 4), (5, 2)}, the domain is {1, 3, 5} and the range is {2, 4}. The mapping diagram would show arrows from 1 to 2, 3 to 4, and 5 to 2.

🧪 Practice Quiz

1. Question 1: Which of the following best describes a mapping diagram?
   1. A) A visual representation of a relation between two sets.
   2. B) A type of graph used to plot points on a coordinate plane.
   3. C) A table used to organize data.
   4. D) A method for solving algebraic equations.
2. Question 2: In a mapping diagram, what is the domain?
   1. A) The set of all output values.
   2. B) The set of all input values.
   3. C) The relation between two sets.
   4. D) The arrows connecting the input and output values.
3. Question 3: What does an arrow in a mapping diagram represent?
   1. A) The domain.
   2. B) The range.
   3. C) The relation between an input and its output.
   4. D) The coordinate plane.
4. Question 4: Given the relation {(2, 4), (3, 6), (4, 8)}, what is the domain?
   1. A) {4, 6, 8}
   2. B) {2, 3, 4}
   3. C) {2, 4, 3, 6, 4, 8}
   4. D) {2, 3, 4, 6, 8}
5. Question 5: Given the relation {(1, 5), (2, 5), (3, 7)}, what is the range?
   1. A) {1, 2, 3}
   2. B) {5, 7}
   3. C) {1, 2, 3, 5, 7}
   4. D) {5}
6. Question 6: Which of the following statements is true about mapping diagrams and functions?
   1. A) In a function, one element in the range can map to multiple elements in the domain.
   2. B) In a function, one element in the domain can map to multiple elements in the range.
   3. C) In a function, one element in the domain can map to only one element in the range.
   4. D) Mapping diagrams cannot represent functions.
7. Question 7: If a mapping diagram shows arrows from 1 to 3, 2 to 3, and 4 to 5, what is the relation?
   1. A) {(1, 3), (2, 3), (4, 5)}
   2. B) {1, 2, 4, 3, 5}
   3. C) {(3, 1), (3, 2), (5, 4)}
   4. D) {(1, 2, 4), (3, 3, 5)}