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Name: ____________________ Date: _______________ Unit 6 Study Guide Functions Is this a function? (table, graph, mapping, coordinates) Vertical Line Test Function Notation Ex: If f(x) = 3x + 2, what is f(w-4) ? Study Quiz - Functions Intercepts x-intercepts: substitute y = 0 and solve for x y-intercepts: substitute x = 0 and solve for y Slope y 2 y1 x2 x1 Another term for slope is “rate of change” Recognize positive, negative, 0 and undefined slopes Find the rise/run when given a graph Ex: If (-3,2) and (4,r), find r if the slope is 3. Study Quiz – Slope p.260 (13,14,53-55) Slope = Slope-Intercept Form y = mx + b (KNOW WHAT THIS MEANS!) When you are given an equation, plug in values for x and make a graph. When you are given a graph, find the equation for it. Explain what would happen to a graph of a line if the m and b values are changed. Ex: How would the graph of y = 2x – 7 change if the -7 were changed to 4? Create the equation for a line when given the following information: 1) m = ___ and b = ___ 2) A graph of the line 3) Two points Parallel & Perpendicular Lines Parallel lines have the SAME SLOPE and DIFFERENT Y-INTERCEPTS. Perpendicular lines have OPPOSITE RECIPROCAL SLOPES. When given an equation, find an equation that is either parallel or perpendicular to it. Ex: Find the equation of the line parallel to y = -2x + 4 that passes through the point (3, 5). Calculator Be sure that you can graph on a calculator! It can help you check your work.