Question

Given the graph below, which of the following points would be included in the graph of the inverse of the function?

a line through the points (-1, 1), (0, 2), (1, 3)



(0, 2)


(-1, 1)


(1, -1)


(2, -4)

Answer 1

(1, -1)

Explanation:

We know that a line passes through the points (-1, 1), (0, 2), (1, 3) .

In order to find the points which pass through the inverse of the function, we just need to swap the values for x and y coordinates for each point.

The point of inverse function for (-1, 1) ---> (1, -1)

The point of inverse function for (0, 2) ---> (2, 0)

The point of inverse function for (1, 3) ---> (3, 1)

Therefore, from the given options, (1, -1) is the point which will be included in the graph of the inverse of the function.

Answer 2

Answer : (1,-1)

a line through the points (-1, 1), (0, 2), (1, 3)

To find the point in the graph of inverse function we interchange x and y values

For point (-1 , 1) , the point on inverse function is (1, -1)

For point (0 , 2) , the point on inverse function is (2, 0)

For point (1 , 3) , the point on inverse function is (3, 1)

so (1,-1) will be included in the graph of the inverse of the function