Understanding Linear Functions and Relationships

Mr. Howard guides students through a practice test from module two, covering sequences, functions, domain and range, linear and nonlinear functions, and equations of lines. He explains how to identify sequence terms, determine if a relation is a function using the vertical line test, and differentiate between domain and range. The tutorial also covers writing equations for lines, understanding slope and intercept, and creating a line of best fit from a scatter plot.

What is the first term in the sequence given by the expression 5n + 4?

• 5

• 9

• 4

• 14

How do you determine if a graph represents a function?

• Check if it is a straight line

• Check if it is a curve

• Check if it passes the vertical line test

• Check if it passes the horizontal line test

What is the domain of a function?

• All positive numbers

• All negative numbers

• All x-values

• All y-values

Which of the following represents a linear function?

• y = x^3 - 2x

• y = 2x^2 + 2x + 1

• y = 3x + 4

• y = 1/x

What is the slope of a line that passes through the points (3, 5) and (9, 3)?

• 2/3

• -2/3

• 1/3

• -1/3

Why does a stock doubling every seven years not represent a linear relationship?

• The stock value decreases

• The change in value is not constant

• The stock value remains the same

• The change in value is constant

What does the slope of a line of best fit represent in a scatter plot?

• The average value of y

• The rate of change between variables

• The minimum value of y

• The maximum value of x