Algebra 1 Semester 2 Review Flashcards

Linear Functions

• Functions belonging to the linear family display a constant rate of change, represented by straight lines on a graph.

Quadratic Functions

• Quadratics belong to the polynomial family, characterized by the highest exponent being two, producing parabolic shapes on graphs.

Absolute Value Functions

• Functions that represent the distance of a number from zero, depicted by a V-shaped graph.

Square Root Functions

• Functions that yield the principal square root of a number, typically producing half a parabola's shape on a graph.

Slope-Intercept Form

• The equation of a line in this form is articulated as y=mx+b where m is the slope and b represents the y-intercept.

Mathematical Operations

• Sum refers to the result of addition, while Difference indicates the result of subtraction. Product signifies the outcome of multiplication, and Quotient refers to the answer from division.

Polynomial Expressions

• Factoring involves rewriting a polynomial as a product of its factors, which could be monomials, binomials, or trinomials.

Relations and Ordered Pairs

• A relation comprises any set of ordered pairs, allowing the analysis of the relationship between input (independent variable) and output (dependent variable).

Coefficients and Degrees

• The leading coefficient is the coefficient of the term with the highest degree in a polynomial, while the degree of a monomial is the sum of the exponents of its variables. The degree of a polynomial is determined by the highest degree amongst its terms.

Line Characteristics

• Perpendicular lines intersect at right angles, coinciding lines share all points, and parallel lines have the same slope but do not intersect.

Intercept Concepts

• The y-intercept indicates where a line crosses the y-axis, while the x-intercept shows where it crosses the x-axis.

Value Sets

• The domain refers to the set of x-values, while the range refers to the set of y-values in a relation.

Function Definition

• A function is defined as a set of ordered pairs where each input (from the domain) corresponds to exactly one output (from the range).

Types of Monomials

• Monomials consist of a single term, while binomials have two terms, and trinomials consist of three terms.