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Wed, 9/28 SWBAT… graph piecewise functions Agenda 1. Warm Up (10 min) 2. Quiz (20 min) 3. Graphing (15 min) Warm-Up: 1.) Turn in HW#7 in the blue folder 2.) Review your graphing linear equations using a table of values and absolute value notes including transformations Review PPT3: Piecewise functions 1.) Cut a piece of graph paper into 4 squares 2.) On one graph paper square: 1. Graph x = 3 2. Graph y = -2 3.) On another graph paper square, graph y = x + 1 Review PPT 3: Piecewise functions Wed, 9/28 SWBAT… graph piecewise functions Agenda 1. Warm Up (10 min) 2. Piecewise functions (35 min) Warm-Up: 1.) Cut a piece of graph paper into 6 squares 2.) On one graph paper square: 1. Graph x = 3 2. Graph y = -2 3.) On another graph paper square, graph y = x + 1 HW#5: Piecewise functions Graphing Horizontal & Vertical Lines y When you are asked to graph a line, and there is only ONE variable in the equation, the line will either be vertical or horizontal. For example … x Graph x = 3 Since there are no y–values in y = –2 this equation, x is always 3 and y can be any other real number. Graph y = –2 Since there are no x–values in this equation, y is always –2 and x=3 x can be any other real number. Thurs, 9/29 SWBAT… graph piecewise functions Agenda 1. Warm Up (10 min) 2. Piecewise functions (35 min) Warm-Up: 1.) On one graph paper square: 1. Graph x = -5 2. Graph y = 1 2.) On another graph paper square, graph y = x + 1 3.) On a number line graph x > 3 HW#5: Piecewise functions y Graph x = -5 Since there are no y–values in this equation, x is always -5 and y can be any other real number. y= 1 x Graph y = 1 Since there are no x–values in this equation, y is always 1 and x can be any other real number. x = -5 Step 1: Solve for y Step 2: Look at the y-intercept (b) and y=x+1 plot where the graph crosses the y-axis. y 5 4 Step 3: Use the slope (rise/run) to determine 3 the next point and plot. 2 Slope = 1 = 1/1 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 x Step 4: Draw a line -1 through both points. Be -2 sure to extend the line -3 and put arrows at both ends. (Use a ruler!) -4 -5 Step 5: Label your line Endpoints when graphing < > ≤ ≥ Endpoints when graphing < > ≤ ≥ Open Circle Open Circle Closed circle Closed circle Piecewise Function A piecewise function is any function that is in, well, pieces! Piecewise functions indicate intervals for each part of the function 1 x3 Graph f(x) = x 1 x 3 Step 1: Step 2 : Step 3: Step 4: Erase part of the Graph f(x) = x + 1 Erase part of the Graph f(x) = 1 graph where x >3 graph where x<3 y 1 x3 f(x) = x 1 x 3 f(x) = 1 x Step 1: Step 2 : Step 3: Step 4: Graph f(x) = x + 1 Graph f(x) = 1 Erase part of the Erase part of graph where x<3 the graph where x >3 y 1 x3 f(x) = x 1 x 3 f(x) = {1 x < 3 x 3 Step 1: Step 2 : Step 3: Step 4: Graph f(x) = 1 Erase part of the Erase part of the graph where x >3 Graph f(x) = x + 1 graph where x<3 y f(x) = x + 1 1 x3 f(x) = x 1 x 3 x Step 1: Step 2 : Step 3: Step 4: Graph f(x) = 1 Erase part of the Graph f(x) = x + 1 graph where x >3 Erase part of the graph where x<3 y 1 x3 f(x) = x 1 x 3 f(x) = {x+1 x>3 x 3 Summary of steps for our example 1 x3 f(x) = x 1 x 3 Step 1: Step 2 : Step 3: Step 4: Graph f(x) = 1 Erase part of the Graph f(x) = x + 1 Erase part of the graph where x >3 graph where x<3 More Examples Go to the following website for more examples on graphing piecewise functions: http://archives.math.utk.edu/visual.calculus/0/functions.1 3/index.html The graph shows the monthly fee for Cell Zone. Use it to answer the following questions: 1) What is the monthly fee? 2) How many minutes are included in the monthly fee? 3) If a customer goes over the minutes included in the fee, how much will they be charged per minute ($/min)? 4) Write a function for this plan. 80 60 Fee ($) 40 20 100 200 300 400 500 600 700 800 Peak Minutes (minutes)

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