Question

Please help!
The graph below shows a company's profit f(x), in dollars, depending on the price of notebooks x, in dollars, being sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: At one time the profit of the company was at least $220, what domain could possibly produce this profit?
Part C: What is an approximate average rate of change of the graph from x = 2 to x = 4, and what does this rate represent?

Answer 1

@Thesn1 can you please help I tried googling it and I cant find it

Answer 2

@jim_thompson5910 hey can you help?

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

x is price of notebooks

Answer 8

how about f(x) ?

Answer 9

company's profit

Answer 10

correct

Answer 11

the x-intercepts are when f(x) = 0

so what does f(x) = 0 mean?

Answer 12

that the company started at $0?

Answer 13

not really "started" but just whenever the profit is $0

since f(x) = profit

Answer 14

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

Answer 15

correct, so what does that mean?

Answer 16

ummmmmm. idk?

Answer 17

when x = 0, the value of f(x) = 0

so when the price is $0, the profit is $0, agreed?

Answer 18

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

Answer 19

what does the x intercept of 4 represent?

Answer 20

the profit is $4?

Answer 21

not quite

Answer 22

then idk. im not good at quadratics

Answer 23

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

Answer 24

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

Answer 25

when they say "max value" they mean the max value of f(x)

how big can f(x) get?

Answer 26

300.

Answer 27

yep so that is the max profit

because again, f(x) is the profit

Answer 28

what value of x corresponds to the max profit?

Answer 29

ok and 2.

Answer 30

yep so when x = 2, f(x) = 300

therefore, when the price is $2, the max profit is $300. This is where the company wants to aim

Answer 31

ok that makes more sense. ok and then for part a still What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Answer 32

the function is increasing if you are going uphill as you go from left to right

decreasing is the opposite way (downhill) as you go from left to right