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!

Step-by-step 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 :

⇒ $2 = 8(r)$

⇒ $\frac{2}{8} = \frac{8(r)}{8}$

⇒ $\frac{2}{8} = r$

⇒ $r=\frac{1}{4}$

So , values of y have a common factor of $r=\frac{1}{4}$ .

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!