Question

hey please help. this has to do with exponential functions. i have to do 225 problems before midnight. it’ll mean a lot!!!

Answer 1

Step-by-step explanation:

To complete the missing values, we have to evaluate the function at the x-values given.

For example, to find the number below x = -1, we will put in x = -1 into y = (1/6)^x.

Putting in x = - 1 in y = (1/6)^x gives

`y=((1)/(6))^(-1)`

which simplifies to give

`y=(1)/(1/6)`
`\rightarrow y=6`

Similarly, for the missing value below x = -2, we put in x = - 2 into y = (1/6)^x to get

`y=((1)/(6))^(-2)`

which simplifies to give

`y=(1)/((1/6)^2)`
`\begin{gathered} \rightarrow y=6^2 \\ \rightarrow y=36 \end{gathered}`

Similarly, for the missing value below x = 2, we put in x = 2 in y = (1/6)^x to get

`y=((1)/(6))^2`

which simplifies to give

`y=(1)/(36)`

Hence, the missing value to be put in is 36.

To summerise, the missing values are

x | -2