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Analyzing Graphs Before you begin, label x-intercepts, y-intercepts, local maxima, local minima, and the arrows/endpoints. Using only those points, you can find the Domain: smallest x, largest x…..use parentheses for infinity or negative infinity and brackets if it is an endpoint Range: smallest y, largest y…..use parentheses for infinity or negative infinity and brackets if it is an endpoint Increasing: (starting x where graph goes up, ending x) ALWAYS USE PARENTHESES Decreasing: (starting x where graph goes down, ending x) ALWAYS USE PARENTHESES Maximum: Point at a peak (x,y) Minimum: Point at a valley (x,y) X-Intercept: (x, 0) the point at which the graph touches the x-axis Y-Intercept: (0, y) the point at which the graph touches the y-axis End Behavior: After labeling your arrows, use the y-values that match up with the corresponding x approaches infinity/negative infinity Asymptote: where the graph plateaus…always write this as y equals a number Continuous: No breaks or gaps Discrete: Points are not connected Analyzing Graphs Before you begin, label x-intercepts, y-intercepts, local maxima, local minima, and the arrows/endpoints. Using only those points, you can find the Domain: smallest x, largest x…..use parentheses for infinity or negative infinity and brackets if it is an endpoint Range: smallest y, largest y…..use parentheses for infinity or negative infinity and brackets if it is an endpoint Increasing: (starting x where graph goes up, ending x) ALWAYS USE PARENTHESES Decreasing: (starting x where graph goes down, ending x) ALWAYS USE PARENTHESES Maximum: Point at a peak (x,y) Minimum: Point at a valley (x,y) X-Intercept: (x, 0) the point at which the graph touches the x-axis Y-Intercept: (0, y) the point at which the graph touches the y-axis End Behavior: After labeling your arrows, use the y-values that match up with the corresponding x approaches infinity/negative infinity Asymptote: where the graph plateaus…always write this as y equals a number Continuous: No breaks or gaps Discrete: Points are not connected