MATH 110 BUSINESS CALCULUS
CHAPTER 1 FUNCTIONS AND LINEAR MODELS
Section 1.2 Functions from the Graphical Viewpoint
The
graph of the function
f
is the set of all points (x,y)
in the xy plane, where we restrict the values of x to lie in
the domain of
f
. (Here, y = f(x).)
Example:
A function can be specified by the formula and
then can be graphed by plotting and connecting dots.
2
( )
f x
x
=

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Not every graph is a function!
Vertical Line Test
:
A graph is a function if there does not exist a vertical line