Answer the following parts of this question based on these 4

Answer the following parts of this question, based on these 4 equations. (2 pts)

F(x) = 2.50(-0.35)^x

G(x) = 0.61(0.65)^x

H(x) = 1.51(2.45)^x

J(x) = 1.51(1.24)^x

a) Which function(s) has a value of 1.51 when x=0?

b) Which function(s) are increasing at a rate faster than 100%?

c) Which function(s) has/have a growth rate of -35%?

d) Which function(s) cannot be an exponential function?

Solution

a) Function H ( x ) = 1.51 ( 2.45)^x has value of 1.51 when x = 0

H ( x ) = 1.51 ( 2.45)^x

           = 1.51 ( 2.45)⁰

           = 1.51

b ) Functions H(x) = 1.51(2.45)^x and J(x) = 1.51(1.24)^x have increasing rate faster than 100%.

c) F(x) = 2.50(-0.35)^x have a growth rate of -35%.

d) F(x) = 2.50(-0.35)^x fuction can not be exponential function, because base can not be a negative in exxponential function.