Question

Write an exponential function in the form

Answer 1

Answer:

y = 4$(9)^{x}$

Step-by-step explanation:

Using the given points to find a and b

Using (0, 4), then

4 = a$b^{0}$ ⇒ a = 4, thus

y = 4$b^{x}$

Using (3, 2916), then

2916 = 4 b³ ( divide both sides by 4 )

729 = b³ ( take the cube root of both sides )

b = $\sqrt[3]{729}$ = 9

Thus

y = 4 $9^{x}$ ← is the exponential function