ALGEBRA unit 8 VOCABULARY- intro to quadratics

Range

• The set of all possible input values (x-values) of a function.

• The set of all possible output values (y-values) of a function.

• The difference between the maximum and minimum values of a function.

• The average value of a function over its domain.

Vertical Line

• A line that goes up and down, parallel to the y-axis. Always x = a value.

• A line that goes left and right, parallel to the x-axis. Always y = a value.

• A line that has a slope of zero and is horizontal.

• A line that can be drawn at any angle.

Interval

• A span of numbers often used to describe a portion of the domain or range of a function.

• A single number that represents a value in a function.

• A graphical representation of a function's output.

• A method for calculating the area under a curve.

Turning Point

• A point where the function is constant

• A point at which the slope of a function changes from (+ to -) OR (- to +)

• A point where the function reaches its maximum value

• A point where the function is undefined

Standard Window

• A default setting for graphing calculators. Set to [-10, 10] for both x and y axes.

• A setting that displays only positive values on the graph.

• A feature that allows for 3D graphing capabilities.

• A mode that restricts the graph to a specific quadrant.

Vertex

• The point where the parabola intersects the x-axis.

• The highest or lowest point on the graph of a parabola.

• The axis of symmetry of the parabola.

• The distance between the focus and the directrix.

Minimum

• The highest point of a graph.

• The lowest point of a graph.

• The average value of a graph.

• The point where the graph intersects the x-axis.

Complete the Square

• A method used to solve quadratic equations by converting them into a perfect square trinomial. Written as @@f\left(x\right)=a\left(x-h\right)^2+k@@

• A technique for factoring polynomials into linear factors.

• A strategy for finding the roots of cubic equations.

• A process for simplifying rational expressions.

Domain

• The set of all possible input values (x-values) for which the function is defined.

• The range of output values (y-values) for a function.

• The graphical representation of a function on a coordinate plane.

• The maximum and minimum values of a function.

Maximum

• The lowest point of a graph.

• The highest point of a graph.

• The average value of a graph.

• The point where the graph intersects the x-axis.