Answer:
\(y=2.(0.5)^{x}\)
Step-by-step explanation:
Although the options of this question have not been given, but still we can find the function from its graph.
Let the function is,
\(y=a(b)^{x}\)
This graph is passing through two points (0, 2) and (1, 1).
By substituting these points in the function we can find the values of a and b,
For (0, 2),
\(2=a(b)^{0}\)
a = 2
For (1, 1),
\(1=2.(b)^{1}\)
\(b=\frac{1}{2}\)
Therefore, given graph represents an exponential function,
\(y=2.(\frac{1}{2})^{x}\)
Or, \(y=2.(0.5)^{x}\)
