Question

determine the ordered pairs of the inverse of the graph shown.
answer attempt 1 out of 99
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Explanation:

Step1: Identify original points

First, find the coordinates of the points on the original graph. From the grid:

• Point 1: \( (3, 5) \) (x=3, y=5)
• Point 2: \( (5, 7) \) (x=5, y=7)
• Point 3: \( (7, 2) \) (x=7, y=2)

Step2: Find inverse points

To find the inverse of a function, we swap the x and y coordinates of each ordered pair. So:

• For \( (3, 5) \), inverse is \( (5, 3) \)
• For \( (5, 7) \), inverse is \( (7, 5) \)
• For \( (7, 2) \), inverse is \( (2, 7) \)

Wait, wait, let's re - check the original points. Let's look at the graph again. Let's count the grid correctly. Let's assume the first point is at x = 3 (since from y - axis, moving 3 units right) and y = 5 (moving 5 units up). The second point: x = 5, y = 7. The third point: x = 7, y = 2. So swapping x and y:

First point original: (3,5) → inverse (5,3)

Second point original: (5,7) → inverse (7,5)

Third point original: (7,2) → inverse (2,7)

Wait, maybe I made a mistake in the original coordinates. Let's re - examine the graph. Let's see the x - axis and y - axis. The grid has each square as 1 unit. Let's find the coordinates of the three black dots:

1. First dot: Let's see, from the origin (0,0), moving 3 units to the right (x = 3) and 5 units up (y = 5). So (3,5)
2. Second dot: 5 units right (x = 5) and 7 units up (y = 7). So (5,7)
3. Third dot: 7 units right (x = 7) and 2 units up (y = 2). So (7,2)

To find the inverse, we swap x and y. So the inverse ordered pairs are (5,3), (7,5), (2,7)

Answer:

(5, 3), (7, 5), (2, 7)