Question

Find the exponential function f(0) = Ca* whose graph goes through the points (0, 2) and (3, 16).

a=
C=

Answer 1

Explanation:

`2 = c(a) {}^(x)`

`2 = c(a) {}^(0)`

`2 = c(1)`

`2 = c`

So our function is

`y = 2(a) {}^(x)`

`16 = 2(a) {}^(x)`

`8 = a {}^(3)`

`a = 2`

So our function is

`y = 2(2) {}^(x)`