Question

The graph below shows a company's profit f(x), in dollars, depending on the price of pens 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? (6 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent?

Answer 1

.

Answer 2

@Abhisar

Answer 3

@paki

Answer 4

hello

Answer 5

@misssunshinexxoxo

Answer 6

@Needhelpp101

Answer 7

@pinkbubbles

Answer 8

@misssunshinexxoxo Please help

Answer 9

helloo

Answer 10

@misssunshinexxoxo

Answer 11

@midhun.madhu1987 Help?

Answer 12

??????@e.mccormick can you help

Answer 13

ops

Answer 14

@e.mccormick can you help?

Answer 15

@Algorithmic

Answer 16

@mathmate

Answer 17

Show an attempt at your question, or at least write out what exactly you do not understand. Do you know what the \(\it x\)-intercepts are?

Answer 18

ok. i think that the maximum value represents the maximum amout of pens the sell? i really dont know how to do this kind of math

Answer 19

@Algorithmic

Answer 20

hello?

Answer 21

We are told that the graph shows a company's profit \(f(x)\), in dollars, depending on the price of pens \(x\), in dollars, being sold by the company. In this case \(f(x)\) is the \(y\)-axis.

Part A: What do the x-intercepts and maximum value of the graph represent?

The \(x\)-intercepts are where the graphs intersects the \(x\)-axis. On your graph that would be in two places. So what do the \(x\)-intercepts represent according to the question? Well if the price of pens is the \(x\)-axis, and the \(y\)-axis is the profit of the company tied to the price of the pens, then if the pens are priced at zero the company makes no profit. (Do you understand how I derived that?)

Answer 22

i think so

Answer 23

Okay, so what would the maximum value of the graph represent, if the \(x\)-intercepts represent the company making no profit.

Answer 24

0

Answer 25

Erm, how did you get that? The maximum value of the graph would represent the maximum profit.

Answer 26

oh okay 120?

Answer 27

Erm, the are not asking for a distinct value, rather they are asking for what it represents.

Answer 28

I dont know, their profits?

Answer 29

Well, yeah in a way. However as I said above, the maximum value, represents the maximum profit they made. That is all there is to answer that question.

Answer 30

OOHH okay thanks for that!

Answer 31

Okay, so have you tried to attempt the question:

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

Answer 32

is it 3,120? i think it represents that they've only sold 3 so far, and thats the maximum that they've made @Algorithmic

Answer 33

what do you think?

Answer 34

@Needhelpp101

Answer 35

soomeone heeeelpp