Find the equation of the exponential function represented by the table below:

X
0
1
2
3
Y
1
0.5
0.25
0.125
Y =

an = 0.5^n−1

Step-by-step explanation:

Use the formula :

a_n = a_1r^n−1

To identify the geometric sequence.

an = 0.5^n−1

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.