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3 years ago

1. In the exponential equation below, identify the initial amount and the growth rate.

1 answer:

4 0

An exponential function is such that it involves the input to be present as an exponent (power) of some constant. The growth rate is n%, while the Initial Amount is 312.

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function. Their usual form is specified below. They are written in several such equivalent forms.

Given the exponential equation y = 312(1.13)ⁿ, therefore, the growth rate is n%, while the Initial Amount is 312.

Learn more about Exponential Function:

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We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
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<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

To learn more on piecewise function: brainly.com/question/12561612

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