Untitled Quiz

Algebra 2 Key Concepts

• Absolute Value

  • Represents the distance of a number from zero on the number line.

• Empty Set

  • Indicates a solutions set for an equation with no valid solutions.

• Set Builder Notation

  • A way to denote the solution set of inequalities through a concise expression.

• Interval Notation

  • Expresses unbounded solution sets of inequalities using infinite symbols.

• Compound Inequality

  • Joins two inequalities with "and" or "or," reflecting their combined solutions.

• Intersection

  • Represents the region satisfying both parts of a compound inequality using "and."

• Union

  • Represents the combined solutions of a compound inequality using "or."

• Ordered Pair

  • Coordinates presented as (x, y), representing points on a Cartesian plane.

• Cartesian Coordinate Plane

  • Divided into four quadrants, facilitating the location of points.

• Quadrants

  • The four sections of the Cartesian plane, each representing different signs of x and y.

• Relation

  • A collection of ordered pairs showcasing associations between elements.

• Domain

  • The complete collection of x-coordinates within a relation.

• Range

  • The total set of y-coordinates corresponding to the domain in a relation.

• Function

  • A specific type of relation where each input (domain) has a unique output (range).

• Mapping

  • Describes the relationship between members of the domain and their matched outputs in the range.

• One-to-One Function

  • A function where each element of the range is linked to one unique element from the domain.

• Vertical Line Test

  • A graphical method to determine if a relation is a function; a vertical line should intersect the graph at most once.

• Independent Variable

  • Typically represented as x; values constituting the domain in a function.

• Dependent Variable

  • Usually represented as y; values depend on the corresponding x values in the function.

• Function Notation

  • A representation of equations where y can be expressed as f(x).

• Slope

  • Calculated as the ratio of vertical change in y-coordinates to horizontal change in x-coordinates.

• Rate of Change

  • Measures the frequency or degree of change in one quantity in response to changes in another, often related to time.

• Family of Graphs

  • A collection of graphs sharing common characteristics or behaviors.

• Parent Graph

  • The most basic form of a graph in a family, serving as a foundational model.

• Parallel Lines

  • Lines in the same plane that never meet, characterized by identical slopes.

• Perpendicular Lines

  • Lines intersecting at a right angle, where the product of their slopes equals -1.

• Point-Slope Form

  • Used to express linear equations in the form y - y1 = m(x - x1), where m is the slope.

• Slope-Intercept Form

  • Represents linear equations in the format y = mx + b, with m as the slope and b as the y-intercept.

• Standard Form

  • Refers to a specific layout of equations, often starting at the origin with the initial side along the positive x-axis.