Answer:
y = 14 [tex](2)^{x}[/tex]
Step-by-step explanation:
Find a and b by substituting the points into the equation
using (0, 14 ) , then
14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
14 = a × 1 ⇒ a = 14
y = 14 [tex]b^{x}[/tex]
using (6, 896 )
896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )
64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )
b = [tex]\sqrt[6]{64}[/tex] = 2
Then
y = 14 [tex](2)^{x}[/tex] ← is the exponential function
