Rational Functions and Sequences Review

These flashcards cover key concepts related to rational functions, polynomial division, series, and geometric figures in mathematics.

Rational Function

A function that can be expressed as the quotient of two polynomials.

Polynomial Long Division

A method used to divide a polynomial by another polynomial of lower degree.

Vertical Asymptote

A vertical line where a function approaches but never reaches, found by setting the denominator equal to zero.

Horizontal Asymptote

A horizontal line that the graph of a function approaches as x approaches infinity.

Geometric Series Formula

A formula for finding the sum of a geometric series, expressed as S = a(1 - r^n) / (1 - r) where a is the first term and r is the common ratio.

Factorization

The process of breaking down an expression into products of simpler factors.

x-intercept

The point where a graph crosses the x-axis, found by setting the function equal to zero.

y-intercept

The point where a graph crosses the y-axis, found by evaluating the function at x = 0.

Algebraic Identity

An equation that holds true for all values of its variables.

Surface Area Function

An expression that calculates the surface area of a geometric figure based on the dimensions of that figure.

Effective Speed

The actual speed of a cyclist after taking into account external factors such as wind.

Volume of a Rectangular Prism

Calculated as V = length × width × height.