50 POINTS
I'll mark you brainliest just please respond ASAP

The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. The vertex is at 5, 160.

Part A: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (3 points)

Part B: Describe the constraints of the domain. (3 points)

Respuesta :

Answer:

A. The maximum represents the most amount of pencil price in dollars sold for the most amount of profit and the x-intercepts represent the profit when it is. The intervals at where the function increases represents a bigger profit for a price, whereas a decreasing interval represents a lower profit for a price.

Step-by-step explanation:

my answer for my test

The average rate of a function is 20 and for every $1 increase in the price of its pencils, the company's profit climbs by $20 on average.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Average rate of a function:

= (160-100)/5-2

= 20

For every $1 increase in the price of its pencils, the company's profit climbs by $20 on average.

Because prices are rarely negative, the domain is most likely confined to 0≤x. The price may be set so high that it yields a loss, but that is not a viable option. As a result, x ≤10 is the upper limit of the sensible domain.

Thus, the average rate of a function is 20 and for every $1 increase in the price of its pencils, the company's profit climbs by $20 on average.

Learn more about the function here:

brainly.com/question/5245372

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