Provide an Appropriate Response

question 270

Essay

Provide an appropriate response.
-The following table has the inputs, x, and the outputs for three functions, f, g, and h. Test the percent change of the
outputs to determine which function is exactly exponential, which is approximately exponential, and which is not
exponential. $$\begin{array} { c | c | c | c } \mathrm { x } & \mathrm { f } ( \mathrm { x } ) & \mathrm { g } ( \mathrm { x } ) & \mathrm { h } ( \mathrm { x } ) \\\hline 0 & 1 & 1.5 & 7 \\1 & 2 & 2.25 & 8 \\2 & 4 & 4 & 9 \\3 & 8 & 5 & 10 \\4 & 16 & 7.75 & 11 \\5 & 32 & 12 & 12\end{array}$$

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Definitions:

Pace Of Life

The speed at which life's activities are conducted, which can vary significantly between cultures, cities, and individuals.

Economically Less-Developed

Referring to countries or regions with lower levels of industrialization, lower standards of living, and lower Human Development Index (HDI) scores compared to more developed economies.

Naturalistic Observation

An investigative technique that involves studying participants in their natural settings without interference from the investigator.

Reading Skills

The abilities that enable an individual to read, understand, interpret, and critically assess written materials.