Answer:
y = 2 [tex](3)^{x}[/tex]
Step-by-step explanation:
The exponential function is of the form
y = a [tex](b)^{x}[/tex]
To find a and b substitute the given points into the equation
Using (0, 2), then
2 = a [tex](b)^{0}[/tex] ⇒ a = 2
Using (1, 6), then
6 = 2 [tex](b)^{1}[/tex] ⇒ b = 3
Equation is y = 2 [tex](3)^{x}[/tex]
