Question

How do you find an exponential function given the points are (0,13) and (2,325)

Answer 1

y = 13
`(5)^(x)`

Explanation:

An exponential function has the form

y = a
`b^(x)`

To find a and b use the given points

Using (0, 13), then

13 = a
`b^(0)` , since
`b^(0)` = 1, then

a = 13, thus

y = 13
`b^(x)`

using (2, 325) , then

325 = 13 b² ( divide both sides by 13 )

25 = b² ( take the square root of both sides )

5 = b

y = 13 ×
`5^(x)` ← is the exponential function