A function $f$ maps temperatures in Celsius to voltages measured by a sensor: $f=\left\{\right(0,0.00),(25,0.50),(50,1.05),(75,1.65\left)\right\}$. The inverse function $f^{-1}$ is used to convert voltage back to temperature. What problem occurs when trying to evaluate $f^{-1}\left(2.00\right)$?

$f^{-1}\left(2.00\right)$ returns the average temperature since $2.00\text{ V}$ is not listed

$f^{-1}\left(2.00\right)={100}^{\circ }\text{C}$ by continuing the pattern in the data

$f^{-1}\left(2.00\right)={37.5}^{\circ }\text{C}$ because it is halfway between values

$f^{-1}\left(2.00\right)$ is undefined because $2.00\text{ V}$ is not in the data unless you estimate