Functions
Learn and practice identifying and graphing different types of functions with interactive resources from GeoGebra.
Middle School
GRADES 6-8
Graphing Linear Functions Using Ordered Pairs
Use ordered pairs derived from tables, algebraic rules, or verbal descriptions to graph linear functions.
Intercepts of Linear Relations
Identify and interpret the intercepts of a linear relation in number and word problems.
Point Point Form of a Line
Write the equation of and graph linear relationships given two points on the line.
Point Slope Form of Line
Write the equation of and graph linear relationships given the slope and one point on the line.
Properties of Linear Functions, Graphs, and Equations
Interpret and compare properties of linear functions, graphs, and equations.
Relations and Functions
Define and distinguish between relations and functions, dependent and independent variables, and domain and range; identify whether relations are functions numerically and graphically.
Slope as Rate of Change
Describe the slope of a line given in the context of a problem situation; compare rates of change in linear relationships represented in different ways.
Slope Intercept Form of a Line
Write the equation of and graph linear relationships given the slope and y-intercept.
Slope of a Line
Find the slope of a line given two points on a line, a table of values, the graph of the line, or an equation of the line in number and word problems.
High School
GRADES 9-12
Composition and Inverse of Functions
Find the inverse of a function or relation. Verify that two functions are inverses using their graphs or composition of functions.
Domain and Range of Special Functions
Write and graph special functions (step, constant, and piecewise) and identify the domain and range.
Exploración
GR. 9-12
Domain and Range of Constant Functions
Exploración
GR. 9-12
Domain and Range of Piecewise Functions
Práctica
GR. 9-12
Writing Domain and Range of a Piecewise Function
Exploración
GR. 9-12
Connecting Piecewise Functions to Graphs and Contexts
Práctica
GR. 9-12
Writing Piecewise Functions from Graphs
Exploración
GR. 9-12
Modeling Real-World Costs with Step Functions
Functions and Function Notation
Use and interpret function notation in number and word problems; determine a value of the function given an element of the domain.
Increasing and Decreasing Functions
Describe the intervals for which a function is increasing or decreasing.
Exploración
GR. 9-12
Changing Behavior of Linear Intervals
Exploración
GR. 9-12
Changing Behavior of Exponential Functions
Exploración
GR. 9-12
Changing Behavior of Quadratic Functions
Práctica
GR. 9-12
Increasing or Decreasing Intervals of a Quadratic Function
Exploración
GR. 9-12
Changing Behavior of Open Graphs
Real-World Phenomena as Functions
Describe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and dependent variables and any constraints of the domain or range.
Representations of Relations and Functions
Convert between different representations of relations and functions using tables, the coordinate plane, and algebraic or verbal statements.
Exploración
GR. 9-12
Exploring Linear and Exponential Growth Models
Exploración
GR. 9-12
Connecting Real-World Scenarios to Exponential Equations
Exploración
GR. 9-12
Connecting Graphs and Exponential Equations
Práctica
GR. 9-12
Completing Tables for Exponential Growth
Práctica
GR. 9-12
Matching Growth Models to Real-World Scenarios
Transformations on Nonlinear Parent Functions
Identify transformations on nonlinear parent functions using function notation, algebraic equations, or graphs.
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