Exploring Functions and Their Properties

This video tutorial introduces the concept of functions in algebra, focusing on how to determine if a relation is a function using the vertical line test. It covers various representations of relations, including graphs, equations, tables, mappings, and story problems. The tutorial also provides practice problems to reinforce the understanding of functions and the application of the vertical line test.

What is the vertical line test used for?

• To determine if a graph is linear

• To check if a relation is a function

• To find the slope of a line

• To solve equations

Which of the following is NOT a way to represent a relation?

• Graph

• Equation

• Table

• Matrix

In a mapping, what do the arrows represent?

• The coordinates of a point

• The slope of the line

• The relationship between x and y values

• The direction of the graph

What should you do if a vertical line hits a graph more than once?

• The graph is incorrect

• The relation is not a function

• The relation is a function

• The vertical line test is invalid

What does it mean if a vertical line hits two points on a graph?

• The graph is a function

• The graph is not a function

• The graph is linear

• The graph is quadratic

How do you start solving a story problem to determine if it is a function?

• Draw a graph

• Create a table

• Write an equation

• Use the vertical line test

In a story problem, what does the 'per' word usually indicate?

• A constant value

• A changing value

• A membership fee

• A fixed cost

What is the first step when given a function in equation form?

• Graph it manually

• Create a table

• Use the vertical line test

• Plug it into Desmos

What is the key to making a table not a function?

• Having the same y values

• Having different x values

• Having the same x values

• Having different y values

What tool is recommended for testing functions in this tutorial?

• Graphing calculator

• Desmos

• Excel

• Python