Answer:
y = 4[tex](9)^{x}[/tex]
Step-by-step explanation:
Using the given points to find a and b
Using (0, 4), then
4 = a[tex]b^{0}[/tex] ⇒ a = 4, thus
y = 4[tex]b^{x}[/tex]
Using (3, 2916), then
2916 = 4 b³ ( divide both sides by 4 )
729 = b³ ( take the cube root of both sides )
b = [tex]\sqrt[3]{729}[/tex] = 9
Thus
y = 4 [tex]9^{x}[/tex] ← is the exponential function
