Name:
Date:
Instructor:
Notes for 2.2 Functions (pp. 197 – 209)
Topics: Relations, Functions, Domain, Range, Evaluation,
Increasing, Decreasing and Constant Functions
I. Relations and Functions (pp.197 – 199)
A ______________is a _____ of ordered pairs.
A _____________ is a relation in which, for each value of the _________ component of the
ordered pairs, there is ___________ _________ value of the second component.
*There are no repeated x values.
Ex. Given a set of ordered pairs, decide whether each relation defines a function.
a. { (2, 4), (0, 2), (2, 5) }
b. { (-3, 1), (4, 1), (-2, 7) }
Ex. Given a graph, decide whether the relation defines a function.
Sketch the graph in the video.
Name the two points that are highlighted as the reason
that the graph does not represent a function:
_____________ and _______________
The result above indicates that to be a graph of a function, the graph must pass the
________________ __________ _________, which states that if a ______________ line
intersects a graph in at most ________ point, then the graph is that of a function.
Given an equation, decide whether the relation is a function or not. *Choose values that
demonstrate there is more than one value that results from the number you chose.
Ex. x = y 6
Ex. y = 2x – 6
II. Domain and Range of a Function (pp. 199 – 204)
The values that x can have is called the _______________. Sometimes this is called the “input
value”.
The values that y can have is called the _______________. Sometimes this is called the “output
value.”
