Question

Write an equation of an exponential function that passes through the points (1,6) (0,3)​

Answer 1

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

Explanation:

an exponential function in standard form is

y = a
`b^(x)`

use 2 points to find a and b

using (0, 3 ) , then

3 = a
`b^(0)` [
`b^(0)` = 1 ] , so

3 = a

y = 3
`b^(x)`

using (1, 6 ) , then

6 = 3
`b^(1)` = 3b ( divide both sides by 3 )

2 = b

y = 3
`(2)^(x)` ← is the exponential function