Question

What is the maximum number of relative extremes contained in the graph of this function f(x)=3x^4-x^2+4x-2

Answer 1

Maximum number of relative extremes contained in the graph of this function = 3.

Explanation:

We have been given function
`f\left(x\right)=3x^4-x^2+4x-2`.

Now we need to find about what is the maximum number of relative extremes contained in the graph of the given function
`f\left(x\right)=3x^4-x^2+4x-2`.

Degree of the given function = 4.

Because degree is the highest power of variable.

Then relative number of extrema = degree - 1 = 4 - 1 = 3

Hence final answer is 3.