Functions and graphs Sec 7 1-C pg. 385 - 389
Graphing functions When graphing a function we can use a function table to generate points. Choose 4 points for values of x. Graph y = x – 1 Our ordered pairs are: (-4, -5), (-1, -2), (1, 0), (3, 2) Plot on the coordinate plane. x x-1 y -4 -4 – 1 -5 -1 -1 – 1 -2 1 1 – 1 3 3 – 1 2 Once you have plotted the points, connect them with a line
Real World Example Jose is selling candles. Each candle cost $8.00. Write an equation for this relation and graph. Let’s choose our Domain as {1, 2, 3, 4}. Our range becomes {8, 16, 24, 32} Ordered pairs are (1, 8), (2, 16), (3, 24), (4, 32) Now graph 40 32 x 8 * x y 1 8 * 1 8 2 8 * 2 16 3 8 * 3 24 4 8 * 4 32 24 16 8 1 2 3 4 5
Graphing Functions Graph y = -2x + 1 Choose 4 points for values of x. D={-2, -1, 1, 2} x -2x + 1 y -2 -2(-2) + 1 5 -1 -2(-1) + 1 3 1 -2(1) + 1 -1 2 -2(2) + 1 -3 Our ordered pairs are: (-2, 5), (-1, 3), (1, -1), (2, -3) Plot on the coordinate plane.