Question

Do all polynomials have atleast one minimum?

Answer 1

True or False?

Answer 2

False?

Answer 3

I guess it depends on what you mean by minimum. Do you mean a local minimum? And are we counting negative infinity?

Answer 4

Like Polynomial's.

Answer 5

You mean a minimum y value?

Answer 6

Idk.

Answer 7

Remember, every non-vertical and non-horizontal staright line is a polynomial. They have no minimum and no maximum.

Answer 8

Im went with False.

Answer 9

@mathstudent Why exclude vertical lines?

Answer 10

x = 1 is not polynomial? :)

Answer 11

I guess not.

Answer 12

Ok, I answered my own question.

Answer 13

Correct. Not all polynomials have a minimum value.