Function Rules, Tables and Graphs

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Functions, Domain and Range

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Presentation transcript:

Function Rules, Tables and Graphs

Vocabulary Function Function Rule A relationship that assigns exactly one output value to each input value Function Rule The operation(s) performed on the input value

Vocabulary Domain Range The input values of a function (x values) The corresponding output values (y values)

Graphing Functions Step 1 Step 2 Step 3 Step 4 Step 5 Create a table for your function. Step 2 Choose at least 3 input values for x. (-, 0, + when possible) Step 3 Evaluate the function for each input value. Step 4 Plot the points as ordered pairs. Step 5 Join the points to form a line.

Graphing Functions y = 2x + 1 (x, y) y = 2x + 1 x -2 2(-2) + 1 -4 + 1 (-2, -3) 2(0) + 1 0 + 1 (0, 1) 2 2(2) + 1 4 + 1 (2, 5)

Graph the Function y= 2x x y= 2x (x,y)

Graph the Function t (x,y) Michael Phelps swims the 400-meter individual medley at an average speed of 100 meters per minute. The equation d = 100t describes the distance d that he can swim in t minutes at this speed. Represent the function by a graph. t d = 100t (x,y)

Graph the Function c (x,y) You buy a DVD for $14 and CDs for $9 each. The equation t = 14 + 9c represents the total amount t that you spend if you buy 1 DVD and c CDs. Represent this function by a graph. c t = 14 + 9c (x,y)