Suppose g′(t)=(t−3)(t−6)(t−11) g ′ ( t ) = ( t − 3 ) ( t − 6 ) ( t − 11 ) . find the largest value of a a such that the function g(t) g ( t ) is increasing for all t t in the interval (3,a) ( 3 , a ) .

The equation represents the function f, and the graph represents the function g. f(x)=3(5/2)^x determine the relationship between the growth factors of f and g. a. the growth factor of g is twice the growth factor of f. b. the growth factor of f is twice the growth factor of g. c. the growth factor of f is 2.5 times the growth factor of g. d. the growth factor of f is the same as the growth factor of g.