What are the Characteristics of Quadratic Functions MM

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: Axis of Symmetry: Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Vertex: Interval of Increase: Extrema: x-intercept(s): Interval of Decrease: Rate of Change: y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry: Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Vertex: Interval of Increase: Extrema: x-intercept(s): Interval of Decrease: Rate of Change: y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry: Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: Extrema: X-intercept(s): Interval of Decrease: Rate of Change: Y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: X-values where the graph is going up from left to right. Extrema: x-intercept(s): Interval of Decrease: Rate of Change: y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry: Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: X-values where the graph is going up from left to right. Extrema: x-intercept(s): Interval of Decrease: X-values where the graph is going down from left to right. Rate of Change: y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: X-values where the graph is going up from left to right. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. x-intercept(s): Rate of Change: y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry: Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: X-values where the graph is going up from left to right. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. Rate of Change: AKA slope! Variable due to curve x-intercept(s): y-intercept:

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Axis of Symmetry: Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: X-values where the graph is going up from left to right. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. Rate of Change: AKA slope! Variable due to curve x-intercept(s): y-intercept: Where the graph crosses the Y-axis.

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: Interval of Increase: X-values where the graph is going up from left to right. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. Axis of Symmetry: Rate of Change: AKA slope! Variable due to curve x-intercept(s): Where the graph crosses the X-axis. y-intercept: Where the graph crosses the Y-axis.

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Parent Quadratic Function: f(x) = x 2 Zero(s): Range: Y-values. Output values. Vertex: AKA Turning Point. The lowest/highest point on the graph. Where the graph changes direction. Interval of Increase: X-values where the graph is going up from left to right. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. Axis of Symmetry: Rate of Change: AKA slope! Variable due to curve x-intercept(s): Where the graph crosses the X-axis. y-intercept: Where the graph crosses the Y-axis.

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Parent Quadratic Function: f(x) = x 2 Axis of Symmetry: Range: Y-values. Output values. Zero(s): Same as X-intercept. Point where graph TOUCHES or crosses the x-axis. Interval of Increase: X-values where the graph is going up from left to right. Vertex: AKA Turning Point. The lowest/highest point on the graph. Where the graph changes direction. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. Rate of Change: AKA slope! Variable due to curve x-intercept(s): Where the graph crosses the X-axis. y-intercept: Where the graph crosses the Y-axis.

What are the Characteristics of Quadratic Functions? ? MM 2 A 3 c. 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. Domain: X-Values If continuous, all real numbers. All input values. Parent Quadratic Function: f(x) = x 2 Axis of Symmetry: Line that cuts graph into to identical pieces. Range: Y-values. Output values. Zero(s): Same as X-intercept. Point where graph TOUCHES or crosses the x-axis. Interval of Increase: X-values where the graph is going up from left to right. Vertex: AKA Turning Point. The lowest/highest point on the graph. Where the graph changes direction. Extrema: Maximum or Minimum Yvalues of the function. Interval of Decrease: X-values where the graph is going down from left to right. Rate of Change: AKA slope! Variable due to curve x-intercept(s): Where the graph crosses the X-axis. y-intercept: Where the graph crosses the Y-axis.

Characteristics of Quadratics A. Domain: __________ Range: __________ Vertex: __________ AOS: ___________ Zero(s): __________ Interval Of Increase: ________ Interval Of Decrease: ________ Extrema: __________ X-intercepts: ________ Y-Intercepts: ________ Average Rate of Change on the Interval (0, -3) to (2, 1) : _______

Characteristics of Quadratics B. Domain: __________ Range: __________ Vertex: __________ AOS: ___________ Zero(s): __________ Interval Of Increase: ________ Interval Of Decrease: ________ Extrema: __________ X-intercepts: ________ Y-Intercepts: ________ Average Rate of Change on the Interval [-4, -2]: _______

Characteristics of Quadratics C. Domain: __________ Range: __________ Vertex: __________ AOS: ___________ Zero(s): __________ Interval Of Increase: ________ Interval Of Decrease: ________ Extrema: __________ X-intercepts: ________ Y-Intercepts: ________ Average Rate of Change on the Interval [3, 4]: _______