Answer:
A.(0, 1)
Step-by-step explanation:
This is an exponential function, which is a function where the independent variable x appears in the exponent and has a constant a as its base. Its mathematical expression is:
[tex]f(x)=a^x\\\\\{x\in R: (a\neq0\hspace{3}and\hspace{3}x\in Z)or(a\geq0\hspace{3}and\hspace{3}x>0)or(x\geq 1 \hspace{3}and\hspace{3}x\in Z)or\hspace{3}a>0\}[/tex]
The image of 0 is always 1 and the image of 1 is always a:
[tex]f(0)=a^0=1\\f(1)=a^1=a[/tex]
Thus, exponential functions always pass through the points (0, 1) and (1, a).
I attached you a graph that illustrates the behavior of the function.
