***Please help as soon as possible!! Create a linear or exponential function based on the given conditions.

a. A function with an average rate of change of 2 and a vertical intercept of 3.
f(x)=
b. A function with a growth factor of 2 and vertical intercept of 3.
g(x)=
c. A function with a slope of 3/2 and an initial value of 9.
h(x)=
d. A function with an initial value of 9 and a growth factor of 3/2.
j(x)=

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.