Kawaward17 Kawaward17
  • 14-02-2019
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 14-02-2019

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

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