Comparing Linear Functions in Algebra

The video tutorial explains how to determine the rate of increase for a linear function f by examining its table of values. It demonstrates how to calculate the rate of change as 7/4 and visually verify this by plotting points. The tutorial then compares different graphs to identify which one has the same slope as f, concluding that graph D matches. The process of verification is also shown, ensuring that the slope of graph D is consistent with the calculated rate of change.

What type of function is described in the video?

• Exponential

• Logarithmic

• Linear

• Quadratic

What is the rate of increase of the function f when x increases by 4?

• 6

• 7

• 8

• 5

What happens to the function f when x increases by 4?

• It increases by 4

• It decreases by 7

• It remains constant

• It increases by 7

How can you visually determine the rate of change of the function?

• By calculating the area under the curve

• By plotting two points and observing the slope

• By drawing a tangent line

• By finding the y-intercept

What are the coordinates of the two points used to plot the function f?

• (0, -1) and (4, 7)

• (0, 0) and (4, 7)

• (0, 1) and (4, 5)

• (0, -1) and (4, 6)

Which graph has the same rate of increase as the function f?

• Graph C

• Graph A

• Graph D

• Graph B

Which graph is decreasing?

• Graph D

• Graph C

• Graph B

• Graph A

What is the slope of the function f?

• 1/2

• 2/1

• 7/4

• 4/7

How can you verify the rate of change on graph D?

• By comparing the x-intercepts

• By ensuring the slope is 7/4

• By calculating the area under the curve

• By checking if the y-intercept is the same

What is the change in the function f when x changes from 4 to 8?

• 7

• 4

• 6

• 8