Question

Which function could be a stretch of the exponential decay function shown on the graph?

Answer 1

We find that the function that could be a stretch of the exponential decay is $f(x) = 2\cdot \left(\frac{1}{6} \right)^{x}$. (Correct choice: C)

What function represents a stretch of a exponential decay function?

Exponential functions are trascedent functions whose form is described below:

$y = a\cdot r^{x}$     (1)

Where:

• a - Stretch factor
• r - Growth rate

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 $f(x) = 2\cdot \left(\frac{1}{6} \right)^{x}$. (Correct choice: C)

Remark

The picture is missing and it cannot be found, but statement is still solvable as there is only one choice that responds the question.

To learn more on exponential functions: brainly.com/question/11487261

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