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Algebra 2 Vocab

QuestionAnswer
a ratio that compares how much one quantity changes, compared to the change in another quantity rate of change slope of a line
two or more equations with the same variables the solution is the ordered pair that works for all of the equations system of equations
a relation in which each element of the domain is paired with exactly one element in the range function
all the input values of a relation often x-values or independent variable domain
all the output values of a relation often y-values or dependent variable range
a relation in which the domain consists of individual elements graph is unconnected points discreet function
function in which the domain has an infinite number of elements relation graphed with a line or smooth curve continuous function
function in which no variable is raised to any power except 1 can be written in slope-intercept form graph is always a straight line linear function
function that is not linear nonlinear function
type of symmetry applicable if you can draw a line that divides the graph into two reflected halves line symmetry
type of symmetry applicable if the graph can be rotated 180 degrees and look the same point symmetry rotational symmetry
the behavior of a graph as x approaches positive or negative infinity end behavior
where the graph crosses the x-axis the y value is zero "zeros" of a graph
any high or low points on the graph includes turning points extrema
the highest point on the graph absolute maximum
the lowest point on the graph absolute minimum
a turning point that is higher than the other points around it relative maximum
a turning point that is lower than the other points around it relative minimum
a piecewise-linear function that contains an algebraic expression within absolute value symbols absolute value function
the simplest function for a family of functions parent function
when a graph is slid, reflected, or stretched or compressed transformation
when a graph is slid left, right, up, or down translation
when a graph is flipped over the x or y axis reflection
when a graph is stretched or compressed dilation
a function that has the greatest exponent of two quadratic function
the shape of a graph for a quadratic functio parabola
the line of symmetry for a parabola always goes through the vertex axis of symmetry
a number, variable, or expression that is the product of one or more variables with whole number exponents monomial
to rewrite an equation without parentheses or negative exponents combine like terms & reduce fractions to simplify
the highest power of a polynomial degree
multiple monomials added and/or subtracted examples include linear & quadratic functions polynomial
when a polynomial is written with the values of the exponents in order from greatest to least standard form
the coefficient of the first term when polynomial is in standard form leading coefficient
a polynomial that cannot be factored prime polynomial
plugging one function into another function composition
a function that has a constant as the base and a variable as the exponent exponential function
the inverse of an exponential function logarithm
a ratio of two polynomial expressions rational function
the shape of a graph of a reciprocal function hyperbola
a vertical line that the graph approaches but never touches vertical asymptote
when one quantity varies directly as another quantity varies direct variation
when one quantity varies directly as the product of two or more quantities joint variation
when one quantity varies inversely as another quantity varies inverse variation
when one quantity varies directly an/or inversely as two or more quantities combined variation
the study of relationships among the angles and sides of a right triangle trigonometry
the angle formed by a horizontal line and the line of sight when looking up angle of elevation
angle formed by a horizontal line and the light of sight when looking down angle of depression
when the vertex of an angle is on the origin and one ray is on the positive x-axis standard position
ray that is on the x-axis initial side
two angles that have the same terminal side in standard position always a difference of 360 degrees coterminal angles
an angle whos terminal side lands on the x or y axis quadrantal angle
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