Exploring Functions and Function Notation

What is a relation in mathematics?

• A graph with no points

• A single ordered pair

• A function with repeated X values

• A set of ordered pairs

Which of the following best describes a function?

• A set of unrelated ordered pairs

• A relation where each X value has a unique Y value

• A relation where X values can repeat

• A graph with multiple points on the same X value

In a mapping diagram, what indicates that a relation is not a function?

• No arrows at all

• Multiple arrows originating from the same X value

• A single arrow pointing to a Y value

• Multiple arrows pointing to the same Y value

When examining a table, what indicates that the table represents a function?

• Repeated Y values

• Repeated X values

• Unique X values

• Unique Y values

What is the vertical line test used for?

• To find the slope of a line

• To determine if a graph is a function

• To calculate the Y-intercept

• To identify ordered pairs

Which of the following ordered pairs represents a function?

• (-3, 2), (2, 4), (2, 1), (6, 3)

• (-6, 3), (3, 2), (2, 4), (4, 5)

• (-3, 2), (2, 4), (2, 4), (6, 3)

• (3, 2), (2, 4), (2, 1), (6, 3)

Which statement is an example of a functional relationship?

• The amount of time I study determines my grade

• My hair color determines the weather

• The number of pets I have determines the weather

• The color of my car determines my grade

What does f(x) represent in function notation?

• The input of the function

• The output of the function

• The variable of the function

• The name of the function

If f(x) = 3x + 4, what is f(2)?

• 12

• 10

• 8

• 6

If f(x) = 3x + 4 and f(x) = 7, what is the value of x?

• 3

• 1

• 4

• 2