Comparing Features of Linear Functions

The video tutorial explains how to determine which graphs show functions increasing faster than a given linear function f. It begins by introducing the concept of linear functions and their values. The tutorial then delves into understanding the rate of change and slope, using the Greek letter delta to denote changes. It calculates the slope of function f, showing that it is 5. The video compares this slope with other functions, identifying which ones increase faster. Function C is identified as having a slope of 8, thus increasing faster than f, while functions A, B, and D do not meet the criteria.

What is the main problem discussed in the video?

• Identifying functions that increase faster than f

• Identifying functions that decrease faster than f

• Calculating the average value of f

• Finding the maximum value of f

What does the Greek letter delta (Δ) represent?

• Sum of values

• Change in values

• Product of values

• Difference between values

How do you calculate the rate of change for a linear function?

• By adding the change in y to the change in x

• By subtracting the change in y from the change in x

• By multiplying the change in y by the change in x

• By dividing the change in y by the change in x

What is the rate of change for the function f?

• 6

• 5

• 4

• 3

Which function is not increasing?

• Function C

• Function A

• Function D

• Function B

What is the slope of function B?

• 5

• 4

• 3

• 6

Which function has a slope of 8?

• Function A

• Function D

• Function C

• Function B

What is the slope of function D?

• 3.5

• 4.5

• 5.5

• 6.5

Which function increases at the same rate as function f?

• Function A

• Function B

• Function D

• Function C

Which function increases faster than function f?

• Function D

• Function C

• Function B

• Function A