Online Quiz: Understanding Functions for 8th Graders

📚 Quick Study Guide

• 🔢 A function is a relation where each input has only one output.
• 📈 We often write functions as $f(x)$, where $x$ is the input and $f(x)$ is the output.
• 📍 The set of all possible inputs is called the domain, and the set of all possible outputs is called the range.
• 📊 Functions can be represented as equations, graphs, tables, or mappings.
• ✍️ To determine if a graph represents a function, use the vertical line test: If any vertical line intersects the graph more than once, it's not a function.

🧪 Practice Quiz

1. What is a function?
   1. A type of equation that always results in a straight line.
   2. A relation where each input has only one output.
   3. A set of numbers.
   4. A graph with no breaks.
2. Which of the following represents a function?
   1. $y^2 = x$
   2. $x^2 + y^2 = 1$
   3. $y = x + 5$
   4. $x = 3$
3. What is the domain of a function?
   1. The set of all possible outputs.
   2. The set of all possible inputs.
   3. The equation of the function.
   4. The graph of the function.
4. What is the range of a function?
   1. The set of all possible inputs.
   2. The set of all possible outputs.
   3. The equation of the function.
   4. The graph of the function.
5. Which of the following is NOT a way to represent a function?
   1. Equation
   2. Graph
   3. Table
   4. Poem
6. If $f(x) = 2x - 3$, what is $f(4)$?
   1. 1
   2. 5
   3. 8
   4. 11
7. Which test is used to determine if a graph represents a function?
   1. Horizontal Line Test
   2. Diagonal Line Test
   3. Vertical Line Test
   4. Curve Test