Identifying and Representing Functions in 8th Grade Math

This video tutorial covers lesson 6.1 on functions. It begins with an introduction to functions, explaining the concept of having one output for every input. The video then explores different ways to represent functions, such as mapping, tables, ordered pairs, and graphs. It provides guidance on identifying functions by checking for repeating x values and using the vertical line test. The tutorial also explains how to create algebraic expressions from relationships and concludes with practice problems for students to apply their learning.

What is a function in mathematical terms?

• A relationship where inputs and outputs are the same

• A relationship where outputs are always greater than inputs

• A relationship where each input has only one output

• A relationship where each input has multiple outputs

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

• Equations

• Tables

• Mapping

• Graphs

In a function, what is the term used for the value you input?

• Y-value

• Output

• Constant

• X-value

What is the vertical line test used for?

• To check if a graph represents a function

• To find the slope of a line

• To identify the domain of a function

• To determine the range of a function

Which of the following sets of ordered pairs represents a function?

• (1, 3), (2, 3), (3, 3)

• (1, 3), (2, 3), (2, 4)

• (1, 3), (1, 5), (2, 7)

• (1, 3), (2, 3), (3, 4)

If the x-values in a table repeat, what can be concluded?

• It is a function

• It is not a function

• It is a linear function

• It is a quadratic function

How do you write the rule for a function where the input is multiplied by 2.25?

• y = 2.25x

• y = x + 2.25

• y = x / 2.25

• y = x - 2.25

What is the algebraic expression for a function where the input is divided by 2?

• f(x) = x / 2

• f(x) = x * 2

• f(x) = 2 / x

• f(x) = x + 2

If there are 18 pencils in 3 boxes, how many pencils are in each box?

• 3

• 6

• 9

• 12

What is the rule for finding the number of boxes needed if you want x pencils, given each box contains 6 pencils?

• x * 6

• x + 6

• x / 6

• 6 / x