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# Algebra 2 Ch. 2 Vocb

### The literary terms found in Ch 2 of Algebra II

Relation A mapping, or pairing, of imput values with output values
Domain The imput values in a relation
Range The output values in a relation
Function A relation that has exactly one output for each imput
Ordered Pairs A representation of a relation where the x-coordinate is the first number and the y-coordinate is the second number
Coordinate Plane A plane divided up into four quadrents with an x axis and a y axis where a relation can be plotted using ordered pairs
Equation A representation of a function with two variables
Solution Should bi in ordered pair form if the question is a true function
Independent Variable In an equation, the imput value
Dependent Variable In an equation, the output value
Graph The visual representation of ordered pairs being put onto a coordinate plane
Linear Function An equation that looks like: y=mx+b
Function Notation An equation that looks like: f(x)=mx+b
Slope A nonvertical line that has a ratio of vertical change (rise) to horizantal change (run)
Parallel Two lines that never intersect
Perpendicular Two lines that intersect and form a right angle
Y-intercept A point on a line that crosses the y-axis
X-intercept A point on a line that crosses the x-axis
Slope Intercept Form An equation that looks like: y=mx+b
Standard Form An equation that looks like: Ax+By=C
Direct Variation Two variables x and y show direct variation provided y=kx where k is a nnonzero constant
Constant of Variation The nonzero constant (usually denoted as k) in a direct variation equation (y=kx), an inverse equation (y=k/x), or a joint variation equation (z=kxy)
Scatter Plot A graph used to determine wheather there is a relationship between pointed data
Positive Correlation If y tends to increase as x increases on a scatter plot
Negative Correlation If y tends to decrease as x increases on a scatter plot
Relatively No Correaltion If the points on a scatter plot show no linear pattern
Linear Inequality with Two Variables An inequality that can be written in one of the folowing forms: Ax+By<C, Ax+By≤C, Ax+By>C, Ax+By≥C
Solution to a Linear Inequaltiy with Two Variables An ordered pair (x,y) that, when x and y are substatuted in the inequality, gives you a true statement
Graph of a Linear Inequality with Two Variables The graph of all the solutions of the inequality
Half-Planes The two reigions of a coordinate plane that are separated by the boundary line of an inequality. One reigon contains the points that are solutions of the inequality and the other reigon contains the points that are not
Piecewise Function A function whose graph has a repeating pattern that continues indefinitely
Step Function A piecewise function whose graph resembles a set of stair steps
Vertex of an Absolute Value Graph The corner point of the graph of an absolute value function