We find that the function that could be a stretch of the exponential decay is [tex]f(x) = 2\cdot \left(\frac{1}{6} \right)^{x}[/tex]. (Correct choice: C)
Exponential functions are trascedent functions whose form is described below:
[tex]y = a\cdot r^{x}[/tex] (1)
Where:
There are two conditions for a stretch factor and exponential decay: (i) a > 1, (ii) 0 < r < 1. Thus, we find that the function that could be a stretch of the exponential decay is [tex]f(x) = 2\cdot \left(\frac{1}{6} \right)^{x}[/tex]. (Correct choice: C)
The picture is missing and it cannot be found, but statement is still solvable as there is only one choice that responds the question.
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