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Transcript
Function Tables and Graphs Function • A function is when each input (x-value) corresponds to exactly one output (y- value) • In other words, when you substitute (x) into an equation there is only one possible answer (y) Let me show you what I mean • Let’s use the function y = 2x + 5 y = 2(0) + 5 if x = 0 y = 5 x y 0 5 2 5 10 20 Fill in the function table for the function y = 4x – 3 x 0 2 5 10 20 y Fill in the function table for the function y = 4x – 3 x y 0 -3 2 5 5 17 10 37 20 77 Fill in the function table for the function y = -3x + 5 x 0 2 5 -2 -5 y Fill in the function table for the function y = -3x + 5 x y 0 5 2 -1 5 -10 -2 11 -5 20 Fill in the function table for the 1 function y = x - 4 2 x 0 2 5 -2 -5 y Graphing a Function from a Function Table • When given a function you can graph it by creating a function table and plotting the points you generate. • You can pick any points for x and substitute them into the function for the output y • You should plot at least 5 points to get a good idea of what your graph looks like: 0, two positive numbers, and two negative numbers. Let’s Use the Functions We Worked With Earlier y = 2x + 5 x 0 2 5 -2 -5 y Let’s Use the Functions We Worked With Earlier y = 2x + 5 x y 0 5 2 9 5 15 -2 1 -5 -5 y = 4x – 3 x 0 2 5 -2 -5 y y = 4x – 3 Two of our points go way off our graph. It helps to show how steep the slope is. x y 0 -3 2 5 5 17 -2 -11 -5 -23 y = -3x + 5 x 0 2 5 -2 -5 y y= x 0 2 4 -2 -4 y 1 x 2 -4 Closure • With a partner, graph the function y = -3x + 3 y = -3x + 3