Element: Investigate and explain characteristics of ...



Student A: _________________________________________DomainAll x-values written in interval or set notationEx: -2 < x < 9 or (-2,9] or R (all real numbers)RangeAll y-values written in interval or set notationEx: -2 < y < 9 or (-2,9] or R (all real numbers)VertexThe point of direction change (bottom, top)Axis of symmetryVertical line going through the vertexZero(s)Where the graph crosses the x-axisy – interceptsWhere the graph crosses the y-axisRate of Change from the interval Slope for a specific intervalInterval of increaseReading the graph from left to right, the graph goes UPEx: -2 < x < 9 or (-2,9] or R (all real numbers)Interval of decreaseReading the graph from left to right, the graph goes DOWNEx: -2 < x < 9 or (-2,9] or R (all real numbers)End behaviorAs x →∞ (goes right), y→ does what??As x →-∞ (goes left), y→ does what??Element: Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, intervals of increase and decrease, and rates of change.Characteristics of functions worksheetFor each graph, identify all of the characteristics of each graph.57150012573000-78505304021717000007747000Domain: ________Range: ________Vertex ( _____, _____ )Axis of symmetry x = _____Zero(s) = _________y – intercepts = ________Rate of Change from the interval ________Interval of increase: _________Interval of decrease: _________As x →∞, y→ ____________As x →-∞, y→ ____________2743201384300084899515367000Domain: ________Range: ________Vertex ( _____, _____ )Axis of symmetry x = _____Zero(s) = _________y – intercepts = ________Rate of Change from the interval ________Interval of increase: _________Interval of decrease: _________As x →∞, y→ ____________As x →-∞, y→ ____________64008044196000103949530607000Domain: ________Range: ________Vertex ( _____, _____ )Axis of symmetry x = _____Zero(s) = _________y – intercepts = ________Rate of Change from the interval ________Interval of increase: _________Interval of decrease: _________As x →∞, y→ ____________As x →-∞, y→ ____________3886204432300013157202794000Domain: ________Range: ________Vertex ( _____, _____ )Axis of symmetry x = _____Zero(s) = _________y – intercepts = ________Rate of Change from the interval ________Interval of increase: _________Interval of decrease: _________As x →∞, y→ ____________As x →-∞, y→ ____________ ................
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