Question

The 5 points plotted below are on the graph of y =b".

Based only on these 5 points, plot the 5 corresponding points that must be on the graph of y = logic.

Answer 1

Here

Explanation:

Answer 2

The 5 corresponding points on the graph of y = logic are: (1,0): (2,1): (4,2: (8,3): (16,4).

To plot the 5 corresponding points that must be on the graph of y = logic, we need to think about the relationship between the graphs of y = b" and y = logic.

Key observation: Every point on the graph of y = b" can be reflected across the line y = x to get a corresponding point on the graph of y = logic.

This is because logic is the inverse function of b". When we apply logic to a number, we essentially reflect it across the line y = x.

Plotting the corresponding points:

To plot the corresponding points, we can simply reflect the 5 given points across the line y = x:

(0,1) -> (1,0)

(1,2) -> (2,1)

(2,4) -> (4,2)

(3,8) -> (8,3)

(4,16) -> (16,4)