Pre-Calculus Vocabulary Flashcards
Grade 11 · Math · Flashcards
Essential vocabulary for pre-calculus including functions, limits, conic sections, sequences, and more.
Flashcards
- Asymptote
- A line that a curve approaches but never touches; can be horizontal, vertical, or oblique.
- Composition of Functions
- Applying one function to the output of another: (f composed with g)(x) = f(g(x)).
- Domain
- The complete set of all input values (x-values) for which a function is defined.
- Range
- The complete set of all output values (y-values) a function can produce.
- Even Function
- A function symmetric about the y-axis; satisfies f(-x) = f(x) for all x.
- Odd Function
- A function symmetric about the origin; satisfies f(-x) = -f(x) for all x.
- Rational Function
- A function of the form f(x) = P(x)/Q(x), where P and Q are polynomials and Q(x) is not zero.
- Arithmetic Sequence
- A sequence with a constant difference between consecutive terms; a_n = a_1 + (n-1)d.
- Geometric Sequence
- A sequence with a constant ratio between consecutive terms; a_n = a_1 times r^(n-1).
- Conic Section
- A curve formed by intersecting a plane with a cone: circle, ellipse, parabola, or hyperbola.
- Parametric Equations
- Equations expressing x and y separately as functions of a third variable (the parameter), often t.
- End Behavior
- The trend of f(x) as x approaches positive or negative infinity; determined by the leading term of a polynomial.
- Inverse Function
- A function f-inverse that reverses f: if f(a) = b, then f-inverse(b) = a. Graphs reflect across y = x.
- Piecewise Function
- A function defined by different rules on different intervals of its domain.
- Sigma Notation
- Compact notation for summing a series; sigma from i=1 to n of a_i means a_1 + a_2 + ... + a_n.
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