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- HelloKitty17

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- HelloKitty17

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:
graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120
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: If at one time the profit of the company was at least $60, what domain could possibly produce this profit? (2 points)
Part C: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

- HelloKitty17

- IrishBoy123

diagram / graph?

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- HelloKitty17

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- OregonDuck

Part B:
When y is 60 x is both 1 and 5
Part C:
We have to look at x = 3 and x = 5 and find the 'y' values..which is 120 and 60
(3, 120) (5, 60)
Plug them into the slope formula:
m=y2−y1/x2−x1
m=60−120/5−3
Simplify

- HelloKitty17

how to simplify

- HelloKitty17

@IrishBoy123 help me

- OregonDuck

the answer is -30

- IrishBoy123

so you want help with B and C, right?

- IrishBoy123

here's a better graph

##### 1 Attachment

- IrishBoy123

for B you are looking for a "domain", which here is the set of all the x values that go into your function to give a profit of **at least** $60.
it's not 1 and 5.

- IrishBoy123

this is how you figure it out

##### 1 Attachment

- IrishBoy123

it looks like \(a

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