Identifying Functions from Sets, Graphs, and Equations

Question:
Three relations are shown. Relation A is the set of ordered pairs: negative one comma four, zero comma two, one comma zero, two comma two, and three comma four. Relation B is a graph showing points at negative two comma one, negative one comma three, zero comma two, one comma three, and two comma one. Relation C is the equation x squared plus y equals 9. Part a: For Relation A, determine if it is a function by checking if each input has exactly one output. Part b: For Relation B, apply the vertical line test to determine if it represents a function. Part c: For Relation C, solve for y and explain whether y is a function of x.

Identifying Functions from Sets, Graphs, and Equations

This lesson examines three representations of relations — a set of ordered pairs, a graph of discrete points, and an equation — and determines whether each one is a function. Students apply the defin