Comparing Functions: Slope and Representation

Mr. Buffington explains how to compare functions presented in different formats, such as lists, graphs, and equations. The tutorial covers finding the slope from these formats and emphasizes the importance of understanding the rate of change. It includes practical examples and methods for comparing functions by converting them into comparable formats, like tables or graphs, to analyze their slopes and intersections.

What is the first step in comparing functions in different formats?

• Calculating the average rate of change

• Finding the y-intercept

• Finding the slope

• Identifying the domain

How do you find the slope from a list of numbers?

• By using the slope equation with two ordered pairs

• By finding the difference between the highest and lowest numbers

• By calculating the average of the numbers

• By plotting the numbers on a graph

What is the slope of the set of numbers (1, 1) and (4, 4)?

• 2

• 1

• 3

• 0

When given a graph, what should you do first to find the slope?

• Identify two points on the graph

• Calculate the y-intercept

• Find the average of the y-values

• Draw a line of best fit

What is the slope of the line passing through the points (-2, 5) and (6, -1)?

• 2/3

• 3/4

• -3/4

• -2/3

How can you find the slope from an equation in slope-intercept form?

• By solving for y

• By looking at the coefficient of x

• By rearranging the equation

• By identifying the y-intercept

What is the slope of the equation y = 2/3x - 14?

• -2

• 2

• 2/3

• -2/3

When comparing functions in different formats, what is a helpful strategy?

• Identifying the domain and range

• Converting them to the same format

• Finding the y-intercept of each function

• Calculating the average rate of change

What is the slope of the function y = 4x - 1?

• 1

• 2

• 4

• 3

What is the slope of the function represented by the table where x increases by 1 and y increases by 2?

• 4

• 3

• 2

• 1