ANSWER
The correct answer is C
EXPLANATIONS
Given
[tex]f(x)=e^x[/tex]
When
[tex]x=1[/tex]
We substitute [tex]x=1[/tex] in to the function, [tex]f(x)=e^x[/tex] to get
[tex]f(1)=e^1[/tex]
[tex]f(1)=e[/tex]
Therefore the function passes through the point
[tex](1,e)[/tex]
See attachment for graph.