The average rate of the change from x = 2 to x = 5 is about 20 , The domain is constrained at x =0
<h3>What is a Function ?</h3>
A function is a mathematical statement used to derive a relation between a dependent variable and an independent variable.
A) The vertical axis of the graph shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company , i.e is the x axis .
So the x-intercepts represent prices of the pencil at which the profit is 0
and The maximum value of the graph represents the maximum profit that can be obtained for any price of the pencil.
The Profit is increasing from (x = 0 to 5) and starts decreasing from x =5 to 10
B) From the graph
(f(5) -f(2))/(5 -2) = (160-100)/3 = 20
The average rate of the change from x = 2 to x = 5 is about 20.
This indicates that the profit will increase at a an average rate of $20 for each $1 increase in price in that interval.
(C)The domain is constrained at x =0 as there it cannot be concluded that if the price is 0 , the profit will be 0 , and we are obligated to sell the pencil at x =6 , as the maximum profits are booked at that point.
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as alternate interior angles;
as vertical angles;
because point H bisects segment DE (given).