Question

Please Help!
What are the approximate values of the minimum and maximum points of
f(x) = x^5 − 10x^3 + 9x?
maximum point: (–2.4, 37.014) and minimum point: (2.4, –37.014)

maximum point: (2.4, –37.014) and minimum point: (–2.4, 37.014)

maximum point: (–1.4, 33.014) and minimum point: (1.4, –33.014)

maximum point: (–3, 30) and minimum point: (3, –30)

Answer 1

is this calculus ?

Answer 2

algebra

Answer 3

you could evaluate f(x) at x= -2.4, 2.4, -1.4 , etc (i.e. the x values of the choices)
and check that you get the correct y ( f(x) ) that they show.

Answer 4

but you can rule out some choices right away. the second number in the (x,y) pair is the y value, and that is the value of f(x).
the "max" value has to be bigger than other values, and the min smaller.

Answer 5

The function can be factored into five linear factors giving you five zeroes.

Since you can know the end behavior of an odd-powered function you can see approximately where the maxima and minima are.

Answer 6

Thank you!