This set of points is on the graph of a function.
{(−2, 5), (−1, 2), (0, 1), (2, 5)}
Which points are on the graph of the inverse?
Select each correct answer.
(2, −1) <my choice
(0, 1) <my choice
(5, 2)
(−5, 2)
if the proper branch is taken, then (5,2) would be on the inverse.
As it stands, the function has no inverse function, since it fails the horizontal-line test.
To determine which points are on the graph of the inverse function, we need to find the inverse of the original function.
To find the inverse, we need to swap the x-values with the y-values of each point.
Original function points:
{(-2, 5), (-1, 2), (0, 1), (2, 5)}
Swapping the x and y values, we get the inverse function points:
{(5, -2), (2, -1), (1, 0), (5, 2)}
Now we can compare these inverse function points with the given options:
(2, -1) - This point is on the graph of the inverse function. You are correct in selecting it.
(0, 1) - This point is on the graph of the inverse function. You are correct in selecting it.
(5, 2) - This point is not on the graph of the inverse function. The y-coordinate of 2 does not match with any x-coordinate in the inverse function points.
(-5, 2) - This point is not on the graph of the inverse function. The x-coordinate of -5 does not match with any y-coordinate in the inverse function points.
Therefore, the correct answers are:
(2, -1)
(0, 1)