Answer
C. (0,1)
Work Step by Step
In order to identify which point lies on the graph of $f(x)=3^{x}$, we need to substitute the given ordered pairs into the function. The ordered pair that provides a true statement lies on the graph of this function.
Substitute (1,0) in for $f(x)=3^{x}$.
0=3^{1}
0=3
This is a false statement and therefore does not lie on the graph of the function.
Substitute (3,1) in for $f(x)=3^{x}$.
1=3^{3}
1=27
This is a false statement and therefore does not lie on the graph of the function.
Substitute (0,1) in for $f(x)=3^{x}$.
1=3^{0}
1=1
This is a true statement and does lie on the graph of the function.
