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Example 3 Average Cost Chapter 6.5 a.Graph the function on the window [-20, 20] by [-30, 50]. b.Does the graph in (a) have a horizontal asymptote? c.Graph.

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Presentation on theme: "Example 3 Average Cost Chapter 6.5 a.Graph the function on the window [-20, 20] by [-30, 50]. b.Does the graph in (a) have a horizontal asymptote? c.Graph."— Presentation transcript:

1 example 3 Average Cost Chapter 6.5 a.Graph the function on the window [-20, 20] by [-30, 50]. b.Does the graph in (a) have a horizontal asymptote? c.Graph the function on the window [0, 20] by [0, 50]. d.Does the graph of the function using the window in part (a) or part (b) better model the average cost function? Why? e.Use technology to find the minimum average cost and the number of units that gives the minimum average cost. The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.  2009 PBLPathways

2 a.Graph the function on the window [-20, 20] by [-30, 50]. b.Does the graph in (a) have a horizontal asymptote? c.Graph the function on the window [0, 20] by [0, 50]. d.Does the graph of the function using the window in part (a) or part (b) better model the average cost function? Why? e.Use technology to find the minimum average cost and the number of units that gives the minimum average cost. The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

3  2009 PBLPathways a.Graph the function on the window [-20, 20] by [-30, 50]. x x The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

4  2009 PBLPathways x x a.Graph the function on the window [-20, 20] by [-30, 50]. The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

5  2009 PBLPathways x x b.Does the graph in (a) have a horizontal asymptote? The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

6  2009 PBLPathways x x b.Does the graph in (a) have a horizontal asymptote? Degree of numerator is 2 Degree of denominator is 1 The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

7  2009 PBLPathways c.Graph the function on the window [0, 20] by [0, 50]. x x The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

8  2009 PBLPathways d.Does the graph of the function using the window in part (a) or part (b) better model the average cost function? Why? x x The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

9  2009 PBLPathways d.Does the graph of the function using the window in part (a) or part (b) better model the average cost function? Why? x x The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

10  2009 PBLPathways e.Use technology to find the minimum average cost and the number of units that gives the minimum average cost. x x The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

11  2009 PBLPathways e.Use technology to find the minimum average cost and the number of units that gives the minimum average cost. x x (5, 23) The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.

12  2009 PBLPathways e.Use technology to find the minimum average cost and the number of units that gives the minimum average cost. x x (5, 23) 5 golf carts produced minimizes daily average cost at $2300 per cart The function represents the daily average cost (in $hundreds) for the production of Stanley golf carts, with x equal to the number of golf carts produced.


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