Find a formula for the exponential function passing through the points (-1,2/3) and (1,6) Help much apprieciated can't figure this one out.
Find a formula for the exponential function passing through the points (-1,2/3) and (1,6) Help much apprieciated can't figure this one out.
Here's another approach
We have the form
y = ab^x
When x = -1, y = 2/3
When x = 1, y = 6
So we have that
2/3 = ab^(-1) (1)
6 = ab^(1) ⇒ ab = 6 ⇒ b = 6/a (2)
Sub (2) into (1) and we have that
(2/3) = a ( 6/a)^(-1)
2/3 = a ( a /6) multiply through by 6
4 = a^2 take the positive root
2 = a
So b = 6/2 = 3
So....the function is
y = 2 (3)^x
Here's a praph :
https://www.desmos.com/calculator/mmoq0kzrez