Write an equation for each of the three graphs below Solutio

Write an equation for each of the three graphs below:

red graph : exponential growth function y = ab^x

passes though ( 0, 1) .So, 1 = a ; y = b^x

Passes though ( 1, 4) : 4 = b^1 ; b = 4

y = 4^x

Similarly green : expoential decay

passes through ( 0, 6) and (1 , 2)

So, y = 6(2)^-x

blue graph : a linear function

y = mx + c

passes through :( 0, 3) and (1 , 7)

slope = ( 7 -3)/(1 -0) = 4

y = 4x + c ; c = 3

y = 4x + 3