Mathematics

Problem

Consider the functions

r(t)=e^{2t}+3

s(t)=2e^{2t}

, and

k(t)=4e^{2t}-5

. Apart from vertical shifts, their graphs share the same basic shape. Assign the roles of

f

f'

, and

f''

r

s

, and

k

. Write your answer as an ordered triple (f, f′, f″) using the function letters.