Find the exponential function f a whose graph is shown 1

Find the exponential function f (×) = a ^ × whose graph is shown

15-18 Encuentre la funcion exponencial f(r) a cuya gra- fica se muestra. (2,9) 18. -3,8)

Solution

Solution:

Given Point

15) (2,9)

f(2) = a² = 9 ----> a² = 3²

a = 3

16)

(- 1,1/5)

f(- 1) =

f(- 1) = a^-1 = 1/5 ----> a^-1 = 1/5

a = 5

17)

(2,1/16)

f(2) = a² = 1/16

a² = 1/16

a = 1/4

18)

(- 3,8)

f(- 3) = a^-3 = 8

a^-3 = 2³

a = 2