Question

Determine whether the data in the table display exponential behavior. Explain why or why not.

Answer 1

Correct option is B). No; The domain values are not at regular intervals although range values have common factor!

Explanation:

We have the following value of x & y , we need to check whether the data in the table display exponential behaviour. Let's find out:

Values of y

Here we have ,
`y = (8,2,0.50,0.125)` which is basically a GP( Geometric Progression ) with a common factor of r :

⇒
`2 = 8(r)`

⇒
`(2)/(8) = (8(r))/(8)`

⇒
`(2)/(8) = r`

⇒
`r=(1)/(4)`

So , values of y have a common factor of
`r=(1)/(4)` .

Values of x

Here we have ,
`x = (3,2,1,-1)` which shows that values are not at regular intervals .

So , Correct option is B). No; The domain values are not at regular intervals although range values have common factor!