In this topic, students will:
identify whether a relation is a function
interpret a function
identify functions in different representations: equations, tables, and graphs
identify linear and nonlinear functions in different representations
compare properties of linear functions in different representations
compare properties of linear and nonlinear functions in different representations
construct a linear function to model a relationship using an equations in the form y=mx+b
describe qualitatively the behavior of a function by analyzing its graph
describe the graph of a function at each interval
draw a qualitative graph of a function based on the verbal description
analyze and interpret the sketch of a graph of a function
Vocabulary:
Function - a special relationship represented by an equation where each input has exactly one output.
Constant rate of change - the slope of a line
Initial value - the value of the output when the input is 0, or the y-intercept fo the graph of a line
Linear function - a function that represents a straight line on the coordinate plane
nonlinear function - a function whose graph is NOT a straight line
Interval - a period of time between two points of time or events