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@jim_thompson5910 hey can you help?

how far did you get with this? did you get started at all?

you want solution of all this or just the last question ??

@jim_thompson5910 no I didn't start im confused with this topic

what does x represent (this is given at the top) ?

x is price of notebooks

how about f(x) ?

company's profit

correct

the x-intercepts are when f(x) = 0
so what does f(x) = 0 mean?

that the company started at $0?

not really "started" but just whenever the profit is $0
since f(x) = profit

oh ok. so for part a the x intercepts are 0 and 4 right?

correct, so what does that mean?

ummmmmm. idk?

when x = 0, the value of f(x) = 0
so when the price is $0, the profit is $0, agreed?

ya agree. so What do the x-intercepts and maximum value of the graph represent?

what does the x intercept of 4 represent?

the profit is $4?

not quite

then idk. im not good at quadratics

when the price is $4, the profit is $0

oh ok. so the x-intercepts are 0 and 4, and maximum value of the graph represent what?

when they say "max value" they mean the max value of f(x)
how big can f(x) get?

300.

yep so that is the max profit
because again, f(x) is the profit

what value of x corresponds to the max profit?

ok and 2.

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ok so what would I put for part a answer?

for the increasing/decreasing part, they just want the intervals along the x axis

i don't get it. @jim_thompson5910

where are you stuck at

i just don't understand what you just said for the intervals.

ya

oh ok so for my graph, it would be 0

for increasing. and then i don't know about decreasing

actually 0 < x < 2
look along the x axis (not y)

ohhhhhh. so what would the decreasing be?

give it a shot

hopefully you see how I'm getting 0 < x < 2 ?

notice how with the increasing part, I ignored everything to the left of x = 0

ya. ok so i just have to look at the x axis right? when i do this

yeah whenever looking at intervals of decreasing or increasing

but itt also says what does it represent and idk what to put for that

@jim_thompson5910 can you help me with part b and c!!??

how do i do that?

ok so (1,220) and (3,220)

yes

so the profit is at least $220 when x is between 1 and 3 (inclusive)
\[\Large 1 \le x \le 3\]

if the company wants a profit of $220 or greater, then it needs to have the price between $1 and $3

ok so that would be my answer?

yeah the domain is another way of asking for an interval

do you see how to do part C?

um no i need help with this sorry

what are the two points on the parabola when x = 2 and x = 4?

x= 2 is 300? and x=4 0?

yep so we have the two points (2,300) and (4,0)

what is the slope of the line through those two points?

would it be a decreasing line

yes the slope is some negative number

ok so what would my answer be, A negative line that goes through 2,300 and 4,0

use the slope formula
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

what slope do you get?

um one second let me solve it

-150

correct

yeah in your own words of course

ya ik that. thanks so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

you're welcome