Question

HELP ME PLEASE !!
explain why it is not possible.

f(-4) = 0, f(4) = 0, f is increasing on the interval -4 < x < 1, and decreasing everywhere else.

Answer 1

@tkhunny

Answer 2

@tkhunny please help

Answer 3

Not really seeing a problem with those parameters.

Answer 4

but do you know why they are not possible ?@tkhunny

Answer 5

@tkhunny

Answer 6

^^

Answer 7

i dont see n e thing wrong either

Answer 8

wait there is i think

Answer 9

how about this one f(3) = 6, f(5) = 0. f is decreasing for x < 0 and increasing for x > 0 @tkhunny @toolCoolChris

Answer 10

@toolCoolChris did you get it ?

Answer 11

how is f(5) increasing when its 0

Answer 12

f(x) , where x < 0 the function is dec. and f(x) x > 0 is increasing , so isn't contradicting where x =5 > 0

Answer 13

yet its 0 at that point

Answer 14

is that all ? @toolCoolChris

Answer 15

and can you help me with the first one @toolCoolChris ?

Answer 16

i guess thats all to it not much else being ask, if u tell me if the question or interval making any sense about the first one still thinking about it

Answer 17

okay so your still thinking about the first one?

Answer 18

i wonder if for the first one f(-4) and f(4) which are both at zero

Answer 19

sorry I dont know either

Answer 20

Please explore this function: \(f(x) = (x+4)^{2}(x-4)(x-16)\) This actually reveals the problem. It suggests you cannot accomplish the task with ANY even-degree polynomial.

Answer 21

thats all thats given @toolCoolChris

Answer 22

yet it mentions that out side from interval x= 3 to x= 1 its decreasing

Answer 23

i wonder if we can say as well that its suppose to be less then zero

Answer 24

@tkhunny Ohh I see

Answer 25

so the question really becomes can we count zero = as decreasing / or increasing

Answer 26

yeah it actually does :P

Answer 27

if we can then f(-3) = 1 and f(1) = 1 then yes there is nothing wrong because its decreasing... what does your book say if its possible or not?

Answer 28

it isnt possible because to get back to zero the fuction has to either decrease then increase or increase and decrease which makes that last statement false

Answer 29

true