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22 Cards in this Set
- Front
- Back
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Relation
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A set of ordered pairs
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Domain
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The set of x-coordinates in a relation
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Range
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The set of y-coordinates in a relation
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Function
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a relation in which each element of the domain is paired with EXACTLY ONE element in the range
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Vertical Line Test
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Using a straightedge to represent a vertical line, move the straightedge from left to right on the graph. For each value of x, the vertical line can only pass through ONE point on the graph.
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Positive relationship in a scatter plot
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points appear to suggest a line that slants upward from left to right
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Negative relationship in a scatter plot
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points appear to suggest a line that slants DOWNWARD from left to right
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No relationship in a scatter plot
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points seem to be random
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linear equation
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an equation with two variables whose graph is a straight line. It has an infinite number of solutions
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funtional notation
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equations represented as functions and are written in the form "f(x)"
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slope of a line
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(1) describes steepness
(2) vertical change ÷ horizontal change or change in "y" ÷ change in "x" or diff in y-coord ÷ diff in x-coord |
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parallel lines
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lines that will never intersect because they have the same slope
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4 Types of slope
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(1) positive
(2) negative (3) zero (4) no slope |
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Zero slope
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slope is horizontal line
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undefined (no) slope
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a vertical line
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x-intercept
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where the graph crosses the x-axis (y-coordinate is zero)
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y-intercept
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where graph crosses the y-axis (x coordinate is zero)
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origin
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where the x-axis and y-axis intersect
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slope-intercept form of the line
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y = mx + b
where m = slope and b = y-intercept |
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standard form of a line
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Ax + By = C
A, B, and C are integers and A is positive |
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system of equations
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several linear equations graphed together in the same coordinate plane
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solution to a system of equations
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the ordered pair that is a solution of ALL linear equations in the system
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