Consider the function f(x)=x^n for positive integer values of n. (a)what values of n does the function have a relative minimum at the origin? (b) what values o

Question

I also have to explain my reasoning

Answer 1

1a)

 

Any parabolic like shape that opens upward will have a relative minimum. Examples are  y=x² , y=x⁴ , and y=x⁶.

 

n is positive even values.