Question

what is the maximum value of a function. round to the nearest thousandth 3x^3_3x^2-30x+24

Answer 1

is this for a calculus class?

Answer 2

i mean CLASS

Answer 3

pre-cal lol

Answer 4

wow i'm trying to think how to do this without using calculus...
how have you worked similar problems at school?

Answer 5

same here... Thanks Newton and Lib-nets

Answer 6

I'm pulling a 3x out..

Answer 7

I'm in online schoo, so not really

Answer 8

cryan: can you tell me what you get for an answer?

Answer 9

well if you graph this, its a typical cubic function it increases to a max then decreases to a min then starts increasing again.
if you have a graphing calculator, graph it and find the y value where it reaches the max or when it starts decreasing.

Answer 10

out of curiosity, what are the answer choices they give you?

Answer 11

it goes off my graph and i have to write an answer. its not mutiple choice

Answer 12

oh ok

Answer 13

have they used the term "relative maximum"

Answer 14

ye

Answer 15

technically this function has no max, it goes to infinity
but it does have a relative maximum at around 52

Answer 16

OK. THANKS

Answer 17

were you able to see that on the graph?

Answer 18

not really i dont think i had my window swt big enough

Answer 19

yeah change the window size so you can see it go down then back up again

Answer 20

oki

Answer 21

3x^3_3x^2-30x+24
First, what's this _ doing between the 3x^3 and 3x^2? Is it a plus or minus sign? If so, then it doesn't matter either way. I'm going to assume it's a +.
What does max mean? It's when you let x get infinitely big. To see how this works, divide through the whole thing by x^2
3x+3-30/x+24/x^2
Plug in infinity for x
you get 3(inf)+3-0+0
This simplifies down to infinity. It's infinitely big because the power with the biggest number (x^3) is what matters most.