The correct option is option B that is the function f(x) = 3 (4)ˣ.
A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. We need to find the function for the given graph. We have two points on the graph so we will satisfy the points in the options given options. The points are (0, 3) and (1, 12).
The first option is
f(x) = 3 (12)ˣ, after putting point (1, 12)
12 ≠ 3 (12), so it is not required function.
The second option is
f(x) = 3 (4)ˣ, after putting points (0, 3) and (1, 12)
3 = 3 and 12 = 12, so it is the required function.
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