Question

Write an exponential function y=ab^x whose graph passes through the points (2,18) and (4,162)

Answer 1

Answer:

see explanation

Step-by-step explanation:

Use the points to find a and b, that is

(2, 18)

18 = a$b^{2}$ → (1)

(4, 162)

162 = a$b^{4}$ → (2)

divide (2) by (1)

$\frac{ab^4}{ab^2}$ = $\frac{162}{18}$ = 9

b² = 9 ⇒ b = 3

substitute b = 3 into (1)

18 = 9a ⇒ a = 2

y = 2$(3)^{x}$ ← exponential equation