Question

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

Answer 1

y = 2
`(3)^(x)`

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)`