Identifying Function Type From Interval Data
Consider the function $$g(x) = f(x + 3)$$ where $$f$$ is some unknown function. The input values of $$g$$ over the equal-length output intervals $$[1, 2]$$, $$[2, 3]$$, and $$[3, 4]$$ are $$[2, 6]$$, $$[6, 18]$$, and $$[18, 54]$$ respectively. What can be concluded about $$f$$?
A
$$f$$ is exponential
B
$$f$$ is logarithmic
C
$$f$$ is quadratic
D
$$f$$ is linear
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