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