The exponential function represented by the values is y = 2(3)ˣ with a rate of change of 3 (b).
Exponential function
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (3, 54):
54 = ab³ (1)
At point (1, 6):
6 = ab (2)
From equation 1 and 2:
b = 3, a = 2
y = 2(3)ˣ
The exponential function represented by the values is y = 2(3)ˣ with a rate of change of 3 (b).
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