Question

3. Given the following polynomial function: f(x) = 3x4 + 2x3 – 2
a. Find the y-intercept

b. Find critical value(s)

c. Find interval(s) where f(x) is increasing.

d. Find interval(s) where f(x) is decreasing

e. State any Max or min.

f. Find interval(s) where f(x) is concave up

g. Find interal(s) where f(x) is concave down

h. State any point(s) of inflection

Answer 1

\[fx = 3x ^{4}+2x ^{3}-2\]