Question

A 2-column table has 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f (x) with entries 0. 004, 0. 02, 0. 1, 0. 5. What is the growth factor of the exponential function represented by the table? 0. 2 0. 1 5 20.

Answer 1

The growth factor of the exponential function represented by the table is 5.

The correct option is c.

What is the growth factor of the exponential function?

The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).

The growth factor of the exponential function is given by;

$\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}$

As per given, we have a table;

x         y

-2     0.004

-1       0.02

0       0.1

1        0.5

The value  $\rm x_2$ is -2 and $\rm x_1$ is -1.

Therefore,

the growth factor of the exponential function represented by the table would be :

$\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\ \rm Growth\ factor=\dfrac{y(-1)}{y(-2)}\\\\\rm Growth\ factor=\dfrac{0.02}{0.004}\\\\ \rm Growth\ factor=5$

Hence, the growth factor of the exponential function represented by the table is 5.

To know more about the Growth factor click the link given below.

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