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

Answer:

5

Step-by-step explanation:

take 0.5 divided by 5 and it gives you your next number on the chart:)

Answer 2

Answer:  5

Step-by-step explanation:

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

i.e. Growth factor = $b=\dfrac{y(x_2)}{y(x_1)}$

As per given , we have table

x         y

-2     0.004

-1       0.02

0       0.1

1        0.5

Then, for $x_1=-2$ and $x_2=-1$ the growth factor of the exponential function represented by the table would be :

$b=\dfrac{y(-1)}{y(-2)}=\dfrac{0.02}{0.004} =5$

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