Students distinguish relations as linear or nonlinear, and as functions or not functions in this activity.
Students will sort relations among 4 categories: Linear Functions, Nonlinear Functions, Linear but not Functions, and Nonlinear not Functions. Each student or student group gets a set of relations represented as tables, lists of ordered pairs, equations, mapping diagrams, and graphs.
Great for partners or groups!
Answer keys are included.
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Function or Not? Powerpoint
Common Core Standards
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).