Question

determine whether the function is a one-to-one function. if it is one-to-one, list the inverse function by switching coordinates, or inputs and outputs.
month (input) | july | august | september | october | november | december
unemployment rate in percent (output) | 9.7 | 9.8 | 9.9 | 10.1 | 10.2 | 10.2

select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

a. the function is one-to-one. the inverse function is described as follows.
unemployment rate (input) | | | | | |
month (output) | july | august | september | october | november | december

b. the function is one-to-one. the inverse function is described as follows.
month (input) | december | november | october | september | august | july
unemployment rate (output) | | | | | |

c. the function is not one-to-one

Explanation:

A one - to - one function requires that each output value corresponds to exactly one input value. In the given table, the output value (unemployment rate) of 10.2 corresponds to two different input values (November and December). Since there is a repeated output for different inputs, the function does not satisfy the one - to - one condition.

Answer:

C. The function is not one - to - one