Answer:
see explanation
Step-by-step explanation:
Use the points to find a and b, that is
(2, 18)
18 = a[tex]b^{2}[/tex] → (1)
(4, 162)
162 = a[tex]b^{4}[/tex] → (2)
divide (2) by (1)
[tex]\frac{ab^4}{ab^2}[/tex] = [tex]\frac{162}{18}[/tex] = 9
b² = 9 ⇒ b = 3
substitute b = 3 into (1)
18 = 9a ⇒ a = 2
y = 2[tex](3)^{x}[/tex] ← exponential equation
