Question

PLEASE ANSWER ASAP

Find the equation of the exponential function represented by the table below:
x y
0 2
1 6
2 18
3 54

Answer 1

y = 2
`(3)^(x)`

Explanation:

For the exponential function in the form

y = a
`b^(x)`

Use ordered pairs from the table to find a and b

Using (0, 2 ), then

2 = a
`b^(0)` (
`b^(0)` = 1 ) , thus

a = 2, so

y = 2
`b^(x)`

Using (1, 6 ) , then

6 = 2b ( divide both sides by 2 )

b = 3

Thus the exponential function is

y = 2
`(3)^(x)`