a function is shown in the table:

x g(x)
−2 2
−1 0
0 2
1 8

Which of the following is a true statement for this function?
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.

The function is increasing from x = -2 to x = -1.

Step-by-step explanation:

The graph starts at -2 and is increasing by 1. it would not be "The function is increasing from x = 0 to x = 1" because it does not start at 0. it starts at -2. even though they both increase by 1, the starting point answer is always the best option.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.