Exploring Linear and Nonlinear Functions

The video tutorial explains how to determine if a relationship is a linear function using a table, graph, and equation. It uses the example of photos taken and memory left on a camera chip. The tutorial demonstrates plotting data points, identifying a constant rate of change, and formulating the linear equation. It concludes with a verbal description of the function and hints at future topics on non-linear functions.

What is the main problem discussed in the video?

• Understanding non-linear functions

• Representing linear functions using a table

• Calculating the total memory of a camera

• Finding the number of photos a camera can take

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What are the x and y values in the graph?

• Photos taken and memory left

• Time and memory left

• Photos taken and time

• Memory left and photos taken

Tags

CCSS.HSF.IF.A.2

How is the x-axis labeled in the graph?

• Megabytes

• Time

• Memory left

• Photos taken

Tags

CCSS.8.EE.B.5

What is the constant rate of change observed in the table?

• 2

• 3

• -3

• -2

Tags

CCSS.HSF-LE.A.1B

What does a constant rate of change indicate about the function?

• It is linear

• It is exponential

• It is quadratic

• It is non-linear

Tags

CCSS.HSF-LE.A.1B

What is the starting value of memory when no photos are taken?

• 500 MB

• 509 MB

• 512 MB

• 503 MB

Tags

CCSS.HSF.LE.B.5

What is the equation derived to represent the linear relationship?

• y = 512 + 3x

• y = 512 - 3x

• y = 3x - 512

• y = 3x + 512

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How is the equation described in words?

• The memory left is 512 plus three times the number of photos taken

• The memory left is 512 minus three times the number of photos taken

• The memory left is three times the number of photos taken plus 512

• The memory left is three times the number of photos taken minus 512

What is the purpose of describing the relationship in words?

• To make it easier to understand

• To confuse the students

• To check for errors

• To create a new equation

Tags

CCSS.RI.6.7

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.6.7

CCSS.RL.7.7

What will be discussed in the next video?

• More linear functions

• Advanced graphing techniques

• Non-linear functions

• Memory usage in cameras