Question 41 The graph of an exponential function is given. Select the function for the graph from the functions listed (A) $f(x)=-3^{x}$ (B) $f(x)=3^{x}$ (C) $f(x)=-3^{x}$ (D) $f(x)=3^{x}$

Step 1 ：First, we need to analyze the given exponential functions and their graphs.

Step 2 ：(A) $f(x)=-3^{x}$: The graph of this function will be a reflection of the graph of $3^x$ across the x-axis.

Step 3 ：(B) $f(x)=3^{x}$: The graph of this function will be an increasing exponential curve.

Step 4 ：(C) $f(x)=-3^{x}$: This is the same as option (A), so the graph will also be a reflection of the graph of $3^x$ across the x-axis.

Step 5 ：(D) $f(x)=3^{x}$: This is the same as option (B), so the graph will also be an increasing exponential curve.

Step 6 ：Since the question only asks for the first question, we can conclude that the correct function for the given graph is either (A) or (B).