Question

Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x^3+4x-5

Answer 1

here is answer in jpeg format

Answer 2

go to www.desmos.com/calculator
type in your function.
You will get a graph that looks something like this:

So f(x) is always increasing (from negative infinity to positive infinity), and there are no relative min/max.