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Alg2 lesson 2.2 and 2.3
1. Name the domain and range for the relation shown in each graph D = {x | x is a real number} D = {x | x is a real number} R = {y | y β₯ 0} R = {y | y β₯ -2} Lesson 2 Contents
2. In a linear equation, each term is either a constant or the product of a constant and (the first power of) a single variable. Which of these represent linear functions? linear nonlinear linear nonlinear Example 2-1a
3. Slope-intercept form y = mx + b f(x) = mx + b m is the slope of the line b is the y-intercept What are the slope and y-intercept of the line ? Slope = 3 y-intercept = -9 Example 2-1d
4. The graph of a linear equation is a line. Graph the line y-intercept = -9 Slope = 3 Slope = ΞyΞx Example 2-1d
17. Parallel lines have equal slopes. Perpendicular lines have slopes that are opposite reciprocals.
18. Graph the line that passes through (2, 1) that is parallel to the graph of 4x β 2y = 10 4x β 2y =10 -2y = -4x + 10 -2 -2 -2 y = 2x β 5 m = 2 , b = -5 Parallel slope = 2
19. Graph the line that passes through (2, 1) that is perpendicular to the graph of 4x β 2y = 10 4x β 2y =10 -2y = -4x + 10 -2 -2 -2 y = 2x β 5 m = 2 , b = -5 Perpendicular slope = -1/2