Step 1: Recall the purpose of a transition curve.
A transition curve is introduced between a straight path and a circular curve.
Step 2: State its function.
It gradually changes the curvature from zero (straight) to the required circular curvature, ensuring smooth vehicle movement and passenger comfort.
Hence,
\[
\boxed{\text{Provide a gradual change of curvature}}
\]
is the correct answer.
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.