Answer:
f(x) = 0.5(2)ˣ
Step-by-step explanation:
Let the exponential function for the given graph is,
f(x) = a(b)ˣ
Since, point (0, 0.5) lies on the graph,
Satisfy the function with the point lying on it.
0.5 = a(b)⁰
a = 0.5
Another point (1, 1) also lies on the graph,
1 = 0.5(b)¹
b = [tex]\frac{1}{0.5}[/tex]
b = 2
Therefore, exponential function for the graph will be,
f(x) = 0.5(2)ˣ
