Thread: Quartic, Hyperbolic, log, and cubic functions?

What is the Maximum number of asymptotes, x intercepts, and maximums and minimums a

1. Quartic Function
2. Hyperbolic Function
3. y= log(2x)
4. Cubic Function

can have?

I would suggest

1. A= 0, X-ints= 4, max = 2, min=2
2. A= 2, X-ints=2 , max = , min=
3. A= 1, X-ints= 1, max = , min=
4. A= 0, X-ints=3 , max =1 , min=1

When you talk max's, min's, do you mean stationary points or just a global min/max?

Thanks for your reply. I mean just local max and mins when graphed.

A cubic might have no max or min. A quartic might have only one max and no min or one min and no max. Pickslides gave the largest possible number of each.