Step 1: Understanding the Concept
In a semiconductor more charge carriers are freed as temperature rises, so resistivity decreases, and the decrease is non-linear (exponential).
Step 2: Look at the graphs
Graphs A and B rise with T, which is the behaviour of a metal. Graph D is a straight line, which is not exponential. Graph C falls steeply and then flattens.
Step 3: Result
Graph C is correct, and option (A) is labelled C.
Final Answer:
The correct graph is a curve with resistivity falling as temperature rises.
\[ \boxed{\text{(A) }\text{graph C}} \]