Question

The table shows values that represent a function.Part 1: write values that represent the inverse of the function represented in the table above. Part 2: is the inverse a function? Explain your answer.Remember that in a function, each input value can have only one input value.

Answer 1

1) To find the inverse function we need to switch the values of the variables, that is, the x-values of the original function corresponds to the y-values of the inverse function, and the y-values of the original function corresponds to the x-values of the inverse function. Then, the table is:

x | 4 | 2 | 1 | 3 | 4 |

y | -2 | -3 | 6 | 7 | 5 |

2) The inverse is not a function because the input x = 4 has two different outputs, -2 and 5; and in a function, each input value can have only one input value.