Answer:
[tex]y=2.(0.5)^{x}[/tex]
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,
[tex]y=a(b)^{x}[/tex]
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),
[tex]2=a(b)^{0}[/tex]
a = 2
For (1, 1),
[tex]1=2.(b)^{1}[/tex]
[tex]b=\frac{1}{2}[/tex]
Therefore, given graph represents an exponential function,
[tex]y=2.(\frac{1}{2})^{x}[/tex]
Or, [tex]y=2.(0.5)^{x}[/tex]
