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perfect square
A perfect square is an expression that is something times itself. Usually we are interested in situations where the something is a rational number or an expression with rational coeVcients.
piecewise function
A piecewise function is a function deTned using diWerent expressions for diWerent intervals in its domain.
positive relationship
A relationship between two numerical variables is positive if an increase in the data for one variable tends to be paired with an increase in the data for the other variable.
quadratic equation
An equation that is equivalent to one of the form , where ,  , and  are constants and    .
quadratic expression
A quadratic expression in  is one that is equivalent to an expression of the form , where  ,  , and  are constants.
quadratic formula
A formula that gives the solutions of a quadratic equation in terms of the coeVcients of the equation in standard form.
quadratic function
A function where the output is given by a quadratic expression in the input.
range
The range of a function is the set of all of its possible output values.
relative frequency table
Aversion of a two-way table in which the value in each cell in is divided by the total number of responses in the entire table, or by the total number of responses in a row or a column.
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