(a) The profit function is a quadratic function and so its graph is a parabola.
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Question
(a) The profit function is a quadratic function and so its graph is a parabola. Does the parabola open up or down? __________
(b) Find the vertex of the profit function P(x) using algebra. Show algebraic work.
(c) State the maximum profit and the number of widgets which yield that maximum profit: The maximum profit is _______________ when ____________ widgets are produced and sold.
(d) Determine the price to charge per widget in order to maximize profit. (e) Find and interpret the break-even points. Show algebraic work.
6 of 8 10. (8 pts) Which of the following functions is represented by the graph shown below? Explain your answer choice. Be sure to take the asymptotes into account in your explanation. 2 -8 -6 -2 2 4 2 10. A. f(x)-16 B, f(x) = C. f(x) = x2 D. f(x)= x2 + 4x x2 16Explanation / Answer
From the above graph we see Two conditions
1.The function is having only two asymptotes at x=-4 and x=0 so at these points the value of the function becomes infinite.
2. And the Value of the function is negative only in region (-4,4) else it is positive througout the graph,
Checking Option A, it is not having asymptoes at x=-4, and 0 as value of function becomes infinite at these points but it is not having Asymptotes at x=0 so it is ruled out at x->0 the function is having a finite value which can be calculated to be 1.
Checking Option B, it is having asymptoes at x=-4, and 4 as value of function becomes infinite at these points but it is not having Asymptotes at x=0 so it is ruled out
Checking Option C, it is having asymptoes at x=-4, and 0 as value of function becomes infinite at these points and it is also having negative value in x=(-4,4)
hence Option C is the answer ,
If u need any clarification plz comment
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