Understanding Slope and Function Notation

The video tutorial covers the concept of functions, emphasizing their importance in milestones. It explains how to identify functions by ensuring each x-value is unique and introduces the vertical line test as a method for verification. The tutorial also delves into function notation, focusing on the slope in the equation y=mx+b, and provides criteria for identifying linear equations. Finally, it compares functions based on their slope and rate of change, using practical examples.

Why are functions important for the milestone exam?

• They are only a minor part of the exam.

• They are not included in the exam.

• They are a major topic covered in the exam.

• They are optional for the exam.

What is a key characteristic of a function?

• The function must have a constant slope.

• The graph must be a straight line.

• The x-values must be unique.

• The y-values must be unique.

What happens if an x-value repeats in a set of ordered pairs?

• It becomes a quadratic function.

• It is still a function.

• It is not a function.

• It becomes a linear function.

How can you visually determine if a graph is a function?

• By checking if it passes through the origin.

• By using the vertical line test.

• By using the horizontal line test.

• By checking if it is a straight line.

What does it mean if a vertical line intersects a graph more than once?

• The graph does not represent a function.

• The graph represents a function.

• The graph is a linear function.

• The graph is a quadratic function.

Which of the following graphs represents a function?

• A graph that passes the vertical line test

• A graph that fails the vertical line test

• A graph with a repeating x-value

• A graph with a repeating y-value

Which of the following is NOT a characteristic of a function?

• Each x-value has a unique y-value.

• The graph represents a relationship between x and y.

• The x-values can repeat.

• The graph passes the vertical line test.

Which of the following graphs represents a function?

• A graph with a repeating y-value

• A graph with a repeating x-value

• A graph that fails the vertical line test

• A graph that passes the vertical line test

What is the slope in the equation y = mx + b?

• y

• m

• x

• b

In the equation y = 3x + 2, what is the slope?

• x

• 2

• y

• 3