Question

Will fan & give medal

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? (5 points)

Part B: At one time the profit of the company was at least $220, what domain could possibly produce this profit? (2 points)

Part C: What is an approximate average rate of change of the graph from x = 2

Answer 1

@iGreen or @KlOwNlOvE can you please help me

Answer 2

read the information carefully
"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"


This is saying on the graph y-intercept is f(x) which is company's profit in dollars. The x-intercept is the price on notebooks in dollars. Do you know what the maximum would be?

Answer 3

no not really

Answer 4

The x-intercepts represent the start and end points of the parabola..

Answer 5

The maximum here represents the biggest profit they had.

Answer 6

There could be 2 domains for when they had 220 in profit..that can be about 1 or 3.

Answer 7

Is Part C complete?

Answer 8

no sir

Answer 9

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? (3 points)

Answer 10

No, I mean is it finished? It looks like its been cut off.

Answer 11

Okay, thanks.

Answer 12

sorry it didnt want to fit in

Answer 13

When x = 2, y = 300. So we have (2, 300). When x = 4, y = 0. So we have (4, 0).

To find the average rate of change plug these in the slope formula, \(m = \dfrac{y_2-y_1}{x_2-x_1}\).

In this case:

\(y_2 = 0\)
\(y_1 = 300\)

\(x_2 = 4\)
\(x_1 = 2\)

Plug them in:

\(m = \dfrac{0-300}{4-2}\)

Subtract:

\(m = \dfrac{-300}{2}\)

Divide:

\(m = -150\)

So the average rate of change from x = 2 and x = 4 is -150.

Answer 14

Yeah, they have character restrictions in the question..

Answer 15

thank you but how would i do part a

Answer 16

like how do i find the maximum

Answer 17

The maximum is the highest y-value, the parabola reaches, which is the middle point..so what is the maximum? @SedateFrog712

Answer 18

Where does the tip of the parabola reach?

Answer 19

300

Answer 20

Yes! So that's the maximum value.

Answer 21

Ok i see

Answer 22

The increase represents an increase in profit, and the decrease represents a decrease in profit.

Answer 23

That covers Part A..right?

Answer 24

yes @iGreen but on part b i have a question