Question

Which exponential function is represented by the graph?

F(x) = 2( 3 )
Of(x) = {(2)
f(x) = {(2)
x22

Answer 1

f(x) = 0.5(2)ˣ

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 =
`(1)/(0.5)`

b = 2

Therefore, exponential function for the graph will be,

f(x) = 0.5(2)ˣ