Answer:
Option (C)
Explanation:
Option (A):
(-1, -2),(0, 4), (1, 3), (5, 14), (7, 4)
In these ordered pairs (4, 4) and (7, 4) have the same y-value.
This function is not a one-to-one function.
Therefore, this function will have no inverse function.
Option (B):
(-1, 2), (0,4), (1, 5), (5, 4), (7, 2)
(-1, 2) and (7, 2) have the same output values for input values -1 and 7.
This function is not a one-to-one function.
Therefore, this function will have no inverse function.
Option (C).
(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)
For every input value there is a different output value in these pairs.
So the function is one-to-one function.
Therefore, inverse of this function will be a function.
Option (D).
(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)
Here (-1, 4) and (0, 4) show the same y-value which shows, the given function is not a one-to-one function.
Therefore, inverse of this function will not be a function.