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Alg II Unit 2 Vocab

Unit 2 vocab

TermDefinition
Coincide To overlap, or in the case of lines, to be identical.
Feasible Region A region on a graph that includes all possible solutions to a system of inequalities.
Ordered Pair A combination of x- and y -coordinates that describe a point on a graph.
Parallel Lines Two lines with equal slopes that never intersect.
System of Linear Equations A group of linear equations that have the same variables and are used together to solve a problem. A linear equation can be written in the form y = mx + b. The graph of a linear equation is a straight line.
Coefficients Numbers that multiply variables.
Linear Inequality An inequality in which the variable is of degree one.
Slope-Intercept Form A form of a linear equation that includes the slope of the line and the value of the y-intercept.
Standard form of a Linear Equation A linear equation written in the form Ax + By = C.
Undefined A value that cannot be computed.
X-axis The horizontal axis in a Cartesian coordinate system.
Y-axis The vertical axis in a Cartesian coordinate system.
X-intercept A point where the graph of a function crosses the x-axis.
Y-intercept A point where the graph of a function crosses the y-axis. A function has at most one y-intercept. The y-intercept of the line with equation y = mx + b is the point (0, b).
Linear Function A function whose graph is a line.
Slope A measure of the steepness of a line. The slope equals rise divided by run for any two points on the line. A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope.
Dependent Variable A variable whose value depends on the value of another variable. It is graphed on the vertical axis, or y-axis, of the xy-plane.
Independent Variable The input variable in a function. Its value determines the value of the dependent variable.
Domain The set of all possible values of the independent variable. It is also the set of all values a function takes as inputs.
Function A special kind of relation in which each value of the input variable is paired with exactly one value of the output variable.
Interval Notation A shorthand way of writing intervals using parentheses and brackets.
Range The set of all possible values of the dependent variable. It is also the set of all values a function returns as outputs.
Relation A pairing of one set of information with another set of information.
Absolute Value Function f(x) = |x|. The magnitude of x.
Greatest Integer Function The greatest integer less than or equal to x. f(x) = [x].
Horizontal Line Test A test to see if a function is one-to-one or many-to-one. If no horizontal line intersects a graph at more than one point, the function that produced that graph is one-to-one.
Many-to-One Function A function in which two or more x-values map to a given y-value.
One-to-One Function A function in which each y-value has a single x-value mapped to it.
Piecewise Functions Functions made up of two or more functions, each defined over a portion of the original function's domain.
Vertical Line Test A method for testing whether a given graph is a function. If a vertical line can be drawn that intersects the graph in two or more points, then the graph is not a function. If no such line can be drawn, the graph is a function.
Created by: DrPeralta