Question

Will Medal!

The graph below shows a company's profit f(x), in dollars, depending on the price of pencils 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: If at one time the profit of the company was at least $100, 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 = 5, and what does this rate represent?

Answer 1

This is the graph

Answer 2

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?

The first x intercepts represent the company not selling any pencils because of the price

The maximum value of the graph represents the company selling the most pencils at the price of around 5 dollars.

The x intercepts are 0 pencils sold when pencils are marked as 0 dollars, and 0 pencils sold when pencils are 10 dollars

Answer 3

That's half of Part A done, what does this part of Part A mean?

What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Answer 4

Part B: If at one time the profit of the company was at least $100, what domain could possibly produce this profit?

I have no idea, I need help on this.

Part C: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

I can probably calculate this, but I'd like someone to walk me through it anyways

Answer 5

Someone help!

@sleepyjess @robtobey

Answer 6

@mathmale @mathstudent55 @Hero @dan815 @Michele_Laino @triciaal @Data_LG2 @EclipsedStar

Answer 7

x-intercepts when y = 0
y = profit

Answer 8

maximum value of the graph = maximum profit

Answer 9

@triciaal I know

Answer 10

@triciaal What does this mean?

What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Answer 11

function increasing from x = 0, y = 0 to y maximum read the value of x at maximum

Answer 12

I need time to read, interpret then answer

Answer 13

Wait... wut?

Answer 14

as from before you know I am not the fastest today

Answer 15

should I continue to read through the problem and try to assist you?

Answer 16

@triciaal yes plz

Answer 17

from x = 5 to x = 10 decreasing maximum to zero profit
after 10 losing it cost more definitely no profit

Answer 18

part B
the profit was at least $100
y > or = $100

Answer 19

domain the set of x values that satisfies the function
Part B for what x values was y>/=100?

Answer 20

Part C the average rate of change of the graph between x = 2 and x = 5
same as slope f(5) -f(2)/ (5 -2)

Answer 21

think of the average rate of change as the profit per pencil if it were the same profit for each pencil

Answer 22

that's it
any questions about my response?

Answer 23

@triciaal Sorry, laptop shut off one sec

Answer 24

@triciaal Alright, i read through you're whole thing.

I'm still completly confused

Answer 25

Lets start from Part A

Answer 26

What do they mean by "intervals" in

What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

?

Answer 27

@triciaal ?

Answer 28

did not leave was working on the graph

Answer 29

intervals section/ region/ limit/
example from 2 to 5 includes 2,3,4,5

Answer 30

you cannot possibly be confused on everything!!

Answer 31

your words " completely confused"

Answer 32

@triciaal I still don't get it. Like, what do they mean by intervals?

Answer 33

@ganeshie8

Answer 34

Would it make sense to say the intervals where the function is increasing is 0, 1, 2, 3, 4, 5, and the intervals where the function is decreasing is 5, 6, 7, 8, 9, 10? @triciaal ?

Answer 35

@triciaal @triciaal @triciaal

Answer 36

For Part B, it appears that the domain would be x => 2, x<=9.7.
. Is this correct @triciaal ?

Answer 37

Just got home from a trip out of town, am tired, and thus cannot stay on O. S. for long. What sort of questions have you?