From the table below, determine whether the data shows an exponential function. explain why or why not.
x- 3 2 1 -1
y- 8 2 0.5 0.125

a.
no; the domain values are at regular intervals and the range values have a common factor 0.25.
b.
no; the domain values are not at regular intervals although the range values have a common factor.
c.
yes; the domain values are at regular intervals and the range values have a common factor 4.
d.
yes; the domain values are at regular intervals and the range values have a common factor 0.25.

Answer with explanation:

x :  3    2    1      -1

y :  8    2    0.5   0.125

Difference between two consecutive Domain values

3-2=1

2-1=1

1-(-1)=2

Ratio of two consecutive y values

So, difference between two consecutive Domain values is not same but range value has a common factor equal to 4.

But still when you plot the points in coordinate plane and join it, you will get the shape similar to exponential curve.

Option B

   No; the domain values are not at regular intervals although the range values have a common factor.

Answer with explanation:

x :  3    2    1      -1

y :  8    2    0.5   0.125

Difference between two consecutive Domain values

3-2=1

2-1=1

1-(-1)=2

Ratio of two consecutive y values

So, difference between two consecutive Domain values is not same but range value has a common factor equal to 4.

But still when you plot the points in coordinate plane and join it, you will get the shape similar to exponential curve.

Option B

   No; the domain values are not at regular intervals although the range values have a common factor.

same question do you know the answer