Question

Consider the function f(x)=x−15x^(1/3).

a.) The domain of this function: (-inf,inf) .

b.) The x-intercept(s): ? and the y-intercept(s): 0.

c.) The critical number(s): ?.

d.) f(x) is increasing on the interval(s) and decreasing on ?

e.) f(x) has a local maximum at x =-11.18035 and a local minimum at x = 11.180344.

f.) f(x) is concave up on the interval(s) and concave down on ?

Can someone please help me finish this problem...

Answer 1

b) to find the x intercepts put x−15x^(1/3). = 0 and solve for x
y intercepts are when x = 0 = 0 - 15*0 = 0

Answer 2

not sure what you mean by critical numbers