Understanding Functions and Linear Equations

This video tutorial reviews units two and three, focusing on functions, arithmetic sequences, and graphing techniques. It explains how to determine if a graph represents a function using the vertical line test, identify functions from multiple-choice options, and understand arithmetic sequences and their common differences. The tutorial also covers writing recursive and explicit rules for sequences, finding intercepts, graphing lines, and using point-slope and slope-intercept forms.

What is the purpose of the review session as mentioned in the introduction?

• To practice without guidance

• To understand why solutions are correct

• To memorize solutions

• To skip difficult problems

What does the vertical line test help determine?

• If a graph is exponential

• If a graph is quadratic

• If a graph is a function

• If a graph is linear

Which of the following indicates a function in a set of table values?

• Repeating y-values

• Unique x-values

• Repeating x-values

• Unique y-values

What is the domain of a relation?

• List of constants

• List of z-values

• List of x-values

• List of y-values

What is required for a sequence to be arithmetic?

• A common sum

• A common difference

• A common ratio

• A common product

What is the first step in writing a recursive rule for a sequence?

• Identify the common ratio

• Identify the last term

• Identify the middle term

• Identify the first term

What method is used to find x and y-intercepts in the cover-up method?

• Division

• Multiplication

• Subtraction

• Addition

What does a negative slope indicate in a real-world context?

• An increase over time

• A constant rate

• A decrease over time

• No change over time

Which method is NOT mentioned for graphing linear equations?

• Using x and y-intercepts

• Using quadratic formula

• Using slope-intercept form

• Using a table of values

In slope-intercept form, what does 'b' represent?

• The origin

• The x-intercept

• The y-intercept

• The slope