Question

What is the relative maximum and minimum of the function?
f(x)=2x^3 + x^2 - 11x

a) The relative maximum is at (-1.53, 8.3), and the relative minimum is at (1.2, -12.01)
b) The relative maximum is at (-1.53, 12.01), and the relative minimum is at (1.2, -8.3)
c) The relative maximum is at (-1.2, 8.3), and the relative minimum is at (1.53, -12.01)
d)The relative maximum is at (-1.2, 8.3), and the relative minimum is at (1.53, -8.3)

Answer 1

is this calculus ?

Answer 2

Algebra 2

Answer 3

First find the derivative of the given function. What do you get?

Answer 4

I don't know, I really have no clue about this.

Answer 5

@phi can you help?

Answer 6

if you can't use calculus, you could test each of the choices
for example, what y value do you get for x=-1.53 ?

Answer 7

I'm not sureee. I feel so stupid.

Answer 8

replace x with -1.53
in other words, write
2x^3 + x^2 - 11x
as
2 * (-1.53)^3 + (-1.53)^2 -11*(-1.53)

Answer 9

is it b?

Answer 10

are you able to figure out what
2 * (-1.53)^3 + (-1.53)^2 -11*(-1.53)
is ?
you can use a calculator, or type it into google like this
2 * (-1.53)^3 + (-1.53)^2 -11*(-1.53)=

Answer 11

to get the max or min take the second derivative
use the x values for when f(x) = 0

Answer 12

2x^3 + x^2 - 11x
divide by x and factor the quadratic
for those values of x what is the value of y ?