The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula is as follows, where P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 12 thousand widgets sold. P = −1 + 2.6n − 0.2n2 Exercise (a) Make a graph of P versus n. Step 1 Because the formula is valid for up to 12 thousand widgets sold, we make the graph using a horizontal span of 0 to   . The table of values below led us to choose a vertical span of -2 to 8. The graph is on below. The horizontal axis corresponds to the variable          which is thousands of widgets sold, and the vertical axis corresponds to the variable         which is weekly profit measured in thousands of dollars. n P 0 -1.00 3.25 5.34 6.50 7.45 9.25 5.94 12.00 1.40 Select the correct graph.           Exercise (b) Calculate P(0) and explain in practical terms what your answer means. Exercise (c) At what sales level is the profit as large as possible?

Please help me solve this problem.

14. Graph the function f(x)=-5+2Vx+3 on the grid below. Show the table you created by hand or using your calculator. y State the range of this function.

Starting with the graph of f(x) = 7, write the equation of the graph that results from a. shifting f(x) 4 units right. y = b. shifting f(x) 6 units downward. y = c. reflecting f(x) about the x-axis and the y-axis. y = Question Help: Video

The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula is given below. P = −180 + 100n − 4n2 Here P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 20 thousand widgets sold. (a) Make the graph of P versus n.         (b) Calculate P(0).P(0) = -180 Explain in practical terms what your answer means. The producer will still make a profit if no widgets are soldThe producer will have a loss if no widgets are sold     (c) What profit will the producer make if 12 thousand widgets are sold? thousand dollars(d) The break-even point is the sales level at which the profit is 0. Approximate the break-even point for this widget producer. thousand widgets(e) What is the largest profit possible? thousand dollars

The function, f. gives the number of copies a book has sold w weeks after it was published. The equation f (w) = 500 2" defines this function. %3D Select all domains for which the average rate of change could be a good measure for the number of books sold. O0sws 2 OOsws7 O 5 s ws 7 O5 sws 10 O O sws 10

How does the graph of the function (x) = x* - 3 differ from the graph of its parent function? O A. The graphs are the same. B. Subtracting 3 translates the graph down 3 units. C. The leading coefficient, 1, stretches the graph vertically. O D. Subtracting 3 translates the graph up 3 units.