"When we increase the degree of the interpolating polynomial, $..."$

Question $7$ options:

$"...$ the interpolation error due to the oscillations of the polynomial will necessarily increase."

$"...$ we will get the same interpolation error as before."

$"...$ the interpolation error will necessarily decrease."

$"...$ the behavior of the interpolation error will depend on the function we are trying to interpolate." WHich of these $4$ statements is correct?