Exploring Function Notation in PreAlgebra

What is a relation in the context of graphing?

• A graph that passes the vertical line test

• A specific type of linear function

• A set of points plotted on a graph

• A function with unique x-values

Which of the following sets of points is a function?

• (1, 2), (2, -1), (3, 0), (4, 4)

• (1, 2), (1, -1), (4, 0), (3, 4)

• (1, 2), (1, 4), (3, 5), (5, 9)

• (1, 4), (3, 2), (5, -2), (2, 0)

What does the domain of a function represent?

• The set of all x-values

• The independent variable

• The possible outputs of the function

• The set of all y-values

What is the range in a function?

• The set of all y-values

• The independent variable

• The dependent variable

• The set of all x-values

What does the vertical line test determine?

• Whether a graph represents a linear function

• If a set of points can be considered a relation

• Whether a graph represents a function

• If the domain values are independent

Which graph type is confirmed as a function using the vertical line test?

• Two intersecting lines

• Circle

• Horizontal line

• Parabola

If a graph passes the vertical line test, what can be inferred?

• It may be a linear function

• It is definitely a function

• It is not a function

• It has a dependent variable

What is the result of f(3) if f(x) = 2x + 3?

• 5

• 6

• 9

• 8

How is function notation typically written?

• g(x) = 5x - 2

• f(x) = 2x + 3

• f(x) = ax^2 + bx + c

• y = mx + b

What is the value of G(0) if G(x) = 5x - 2?

• 2

• -2

• 3

• 0