Answer:
Maximum number of relative extremes contained in the graph of this function = 3.
Step-by-step explanation:
We have been given function [tex]f\left(x\right)=3x^4-x^2+4x-2[/tex].
Now we need to find about what is the maximum number of relative extremes contained in the graph of the given function [tex]f\left(x\right)=3x^4-x^2+4x-2[/tex].
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.
