The ordered pair (1, 12) lies on the graph of the exponential function f(x) = 3(2)2x. which is the correct answer would be option (A).
The graph of an exponential function of the form f(x) = abˣ is a curve that passes through the point (0, a), where a is the initial value of the function.
In the given equation, the initial value is 3, so the graph of f(x) passes through the point (0, 3).
To find other points on the graph of f(x), we can plug different values of x into the equation and solve for the corresponding value of y.
For example, if we plug x = 3 into the equation, we get:
f(3) = 3(2)² × 3
= 3(16)
= 48
Therefore, point (3, 48) does not lie on the graph of f(x).
Similarly, if we plug x = 1 into the equation, we get:
f(1) = 3(2)² × 1
= 3(4)
= 12
Thus, point (1, 12) lies on the graph of f(x).
Learn more about the graphs here:
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