Function Operations definitions Flashcards
Function Operations definitions
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Function A mathematical rule assigning each input exactly one output, often written as f(x) or g(x). Domain The set of all input values for which a function is defined, considering any restrictions like division by zero. Range The set of all possible output values a function can produce based on its domain. Polynomial An algebraic expression consisting of variables and coefficients, involving only addition, subtraction, and multiplication. Like Terms Terms in an expression that have identical variable parts and can be combined through addition or subtraction. Square Root A value that, when multiplied by itself, gives the original number; introduces domain restrictions to non-negative inputs. Denominator The bottom part of a fraction, whose value cannot be zero to avoid undefined expressions. Interval Notation A mathematical notation used to describe the set of values within a domain, such as (0, ∞) or (−∞, 2). Difference of Squares An algebraic pattern where an expression like a^2 − b^2 factors into (a + b)(a − b). FOIL Method A technique for multiplying two binomials by multiplying First, Outside, Inside, and Last terms. Fraction A mathematical expression representing division, with a numerator above and a denominator below a dividing line. Notation The system of symbols and formats used to represent mathematical operations, such as f+g(x) or f/g(x). Restriction A limitation on the domain of a function, often due to operations like division by zero or taking square roots of negatives. Simplification The process of rewriting an expression in a more compact or easily interpretable form, often after performing operations. Real Numbers All numbers on the continuous number line, including both rational and irrational values, often forming the domain of polynomials.
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