Algebra 2 - Illustrative Mathematics Chapters 1 & 2 Flashcards

Algebra 2 Key Concepts

• Arithmetic Sequence: A sequence where each term is found by adding a constant value to the previous term.

• Degree of a Polynomial: The highest exponent of any term within the polynomial indicates its degree.

• End Behavior: Describes how the graph of a function behaves as the input approaches positive or negative infinity.

• Geometric Sequence: A sequence in which each term is obtained by multiplying the prior term by a fixed constant.

• Horizontal Asymptote: A line that represents where the graph approaches as it goes towards infinity but never actually intersects.

• Identity: An equation that holds true for every possible value of the variable.

• Multiplicity: Refers to the number of times a given factor appears in the polynomial's factored form.

• Polynomial Function: A function expressed as the sum of multiple terms, each consisting of a constant multiplied by a variable raised to a non-negative integer power.

• Rational Function: Defined as a function expressed as the ratio of two polynomials.

• Relative Maximum: A point on a graph indicating that no nearby points have a higher y-coordinate.

• Relative Minimum: A point on a graph where no nearby points have a lower y-coordinate.

• Sequence: An ordered list of numbers that can continue indefinitely, such as the series of odd positive integers.

• Term of a Sequence: An individual number within a sequence.

• Vertical Asymptote: A vertical line that a graph approaches but never crosses, indicating behavior of the function.

• Integer: Whole numbers that can be positive, negative, or zero.

• Even Number: An integer that is divisible by 2 without remainder.

• Odd Number: An integer whose last digit is 1, 3, 5, 7, or 9.

• Rational Number: A number that can be expressed as a ratio between two integers.

• Polynomial: An expression made by adding together several terms.

• Factor: A number that divides another number exactly, contributing to the multiplication that yields a product.

• Factoring a Polynomial: The process of expressing a polynomial as a product of simpler polynomials.

• Graph of a Function: A visual representation of the relationship between the input values (domain) and their corresponding function outputs.

• Intercepts of a Graph: Points where the graph intersects the axes; includes both x-intercepts and y-intercepts.

• X-Intercept: The value of x at which the graph intersects the x-axis.

• Y-Intercept: The value of y at which the graph intersects the y-axis.

• Zeroes of a Function: Specific inputs that result in an output of zero for the function.