Question

PLEASE ANSWER ASAP

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

Answer 1

y = 4
`(2)^(x)`

Explanation:

For an exponential function in standard form

y = a
`(b)^(x)`

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = a
`b^(0)` (
`b^(0)` = 1 ), so

a = 4

y = 4
`b^(x)`

Using (1, 8 ), then

8 = 4
`b^(1)` = 4b ( divide both sides by 4 )

2 = b

Thus

y = 4
`(2)^(x)` ← exponential function