Core functions, trigonometry, and algebraic concepts tested on the CLEP Precalculus exam. Front: the term or formula. Back: definition or formula with a brief usage note.
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- Function
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A relation in which every input has exactly one output.- Domain
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The complete set of possible input values for a function.- Range
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The complete set of possible output values a function can produce.- Function composition
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Combining two functions by using the output of one as the input of the other, written f(g(x)).- Inverse function
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A function that reverses another function's mapping, undoing its effect, written f to the negative first power.- Linear function
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A function of the form y equals mx plus b, whose graph is a straight line.- Slope
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The rate of change of a line, calculated as the change in y divided by the change in x.- Quadratic function
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A function of the form y equals ax squared plus bx plus c, whose graph is a parabola.- Vertex of a parabola
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The highest or lowest point on a parabola, where the graph changes direction.- Discriminant
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The expression b squared minus 4ac, used to determine the number and type of solutions of a quadratic equation.- Polynomial function
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A function built from terms with non-negative integer exponents on the variable, such as x cubed plus 2x.- Rational function
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A function expressed as one polynomial divided by another polynomial.- Vertical asymptote
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A vertical line that a function's graph approaches but never touches, often where the denominator equals zero.- Horizontal asymptote
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A horizontal line that a function's graph approaches as x goes to positive or negative infinity.- Exponential function
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A function of the form y equals a times b to the x, where the variable appears in the exponent.
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