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Identifying Linear Functions and Equations Objective: I can and I will identify a linear function. What is a linear function? - What do we remember about functions? - A linear function is a function whose graph forms a straight line. Ex. 1) Graph - Is it a linear function? y y x x x Ex. 2) Table - Is it a linear function? X Y X Y X Y 0 -3 -4 13 -2 7 4 0 -2 1 -1 4 8 3 0 -3 0 1 12 6 2 1 1 -2 16 9 4 13 2 -5 Ex. 3) Ordered Pairs – Is it a linear function? (2, 4), (5, 3), (8, 2), (11, 1) (-10, 10), (-5, 4), (0,2), (5, 0) Standard Form of a Linear Equation Ax + By = C •A, B, and C are real numbers. •A and B are not both 0. When a linear equation is written in standard form: •x and y both have exponents of 1 •x and y are not multiplied together •x and y aren’t denominators, exponents, or radical signs. Is it a Linear Function - Standard Form x = 2y + 4 y x Ex. 4) Is it a Linear Function - Standard Form y = 5x - 9 y x Weather… The National Weather Service releases weather balloons twice daily at over 90 locations in the United States in order to collect data for meteorologists. The height (h) in feet of a balloon is a function the time (t) in seconds after the balloon is released. Make a table showing the height of a balloon after (t) seconds for t=0 through t=10. A balloon bursts after a flight of about 7200 seconds. the function and identify the domain and range. Graph Balloon being released… h=14t + 5 Practice Pg. 304 # 1 - 14