Chapter 4 Vocabulary Functions
an equation or formula that has more than one variable. Linear Equation- an equation or formula that has more than one variable. (lesson 1)
Relation, Domain, & Range Lesson 2 Relation, Domain, & Range DOMAIN The set of x-coordinates in a relation D: {-2, 1, 0} RELATION Any set of ordered pairs {(-2, 3), (1, 2), (0, -1)} RANGE The set of y-coordinates in a relation R: {3, 2, -1)}
Lesson 3 Each member of the domain is paired with exactly one member in the range. IF there is more than one range for a given domain, then it is NOT a function.
A relationship in which EACH MEMBER of the domain (input) is FUNCTION A relationship in which EACH MEMBER of the domain (input) is paired with EXACTLY member of the range (output). NOTE: Some functions can have “one-to-one” relationships, each input can have a “best buddy” in the output. Lesson 3
LINEAR FUNCTION CONTINUOUS DATA DISCRETE DATA A function in which the graph of the solutions form a line CONTINUOUS DATA Data that can take on any value. There is no space between data values for a given domain. Solid line graphs. DISCRETE DATA Data with space between possible data values. Graphs are represented by dots.
INDEPENDENT VARIABLE DEPENDENT VARIABLE Lesson 3
Know the vocabulary! Lesson 4
Lesson 4
Let’s get started! Quadratic Function: Standard Form of a Quadratic Function: A function that can be written in the form y = ax2 + bx + c A quadratic function where a ≠ 0 Quadratic Parent Function: EXAMPLES: y = 3x2 y = x2 + 9 y = x2 - x - 2 Let’s get started! The simplest form of the quadratic function: y = x2 Lesson 8
Parabola Axis of Symmetry Vertex The graph of a quadratic function Lesson 8 Parabola The graph of a quadratic function The U-shaped curve Axis of Symmetry Vertex The imaginary lines that divides the parabola in half equally The highest or lowest point of a parabola
MAXIMUM When the vertex represents the lowest point on the parabola minimum More about the vertex... When the vertex represents the HIGHEST point on the parabola Lesson 8