Question

Write an exponential function whose graph contains the points (1, 6) and (0, 2).

Answer 1

Answer:

y = 2 $(3)^{x}$

Step-by-step explanation:

The exponential function is of the form

y = a $(b)^{x}$

To find a and b substitute the given points into the equation

Using (0, 2), then

2 = a $(b)^{0}$ ⇒ a = 2

Using (1, 6), then

6 = 2 $(b)^{1}$ ⇒ b = 3

Equation is y = 2 $(3)^{x}$