Graphing a Function Rule, Study notes of Linear Algebra

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Dec 157:41 AM

1/4/16 Warm Up

Remember: input is x and output is y.

Jan 46:34 AM What is a function? What makes a function linear?

Dec 157:52 AM Continuous or Discrete?

Dec 152:43 PM Graphing a Function Rule (pg. 253) Example: What is the graph of the function rule? x y = 2 x + 1 ( x , y ) 1 0 1 2

Dec 152:54 PM Graphing a RealWorld Function Rule (pg. 254) Example: The function rule W = 146 c + 30,000 represents the total weight W , in pounds, of a concrete mixer truck that carries c cubic feet of concrete. If the capacity of the truck is about 200 ft^3 , what is a reasonable graph of the function rule? c W = 146 c + 30,000 ( c , W ) *What is the capacity of the truck? x y

Dec 167:02 AM Practice: The function rule W = 8 g + 700 represents the total weight W , in pounds, of a spa that contains g gallons of water. What is a reasonable graph of the function rule, given that the capacity of the spa is 250 gal?

Dec 167:07 AM Identifying Continuous and Discrete Graphs (pg. 255) Example: A local cheese maker is making cheddar cheese to sell at a farmer's market. The amount of milk used to make the cheese and the price at which he sells the cheese are shown. Write a function for each situation. Graph each function. Is the graph continuous or discrete? Try making tables for both ... Then graph ...

Dec 167:19 AM

Dec 167:41 AM 0 1 2 3 4 5 50 100 150 200 250 300 350 400 450 500 x y

Dec 167:42 AM Graphing Nonlinear Function Rules (pg. 256) Example: What is the graph of the function rule? x y = | x| 4 ( x , y )

Dec 167:52 AM Practice: What is the graph of the function rule? 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 10 9 8 7 6 5 4 3 2 1 2 3 4 5 6 7 8 9 10 x y x y = x^3 + 1 ( x , y )

Dec 168:40 AM

1. Tell whether each relationship should be represented by a continuous or a discrete graph. a. The number of bagels b remaining in a dozen depends on the number s that have been sold. b. The amount of gas g remaining in the tank of a gas grill depends on the amount of time t the grill has been used.
2. Your friend graphs y = x + 3 at the right. Describe and correct the error.