Math 1310 Class Notes – Section 3.7, Page 1 of 8
Math 1310
Section 3.7
Inverse Functions
•
Onetoone functions
Some functions have inverse functions and others don’t.
We’ll start by determining if a
function has an inverse function.
To do this, we’ll need to determine if a function is
one
toone
.
Suppose
f
is a function with domain
A
.
We say
f
is onetoone if no two elements in
A
give the same value for the function.
It is easiest to determine if a function is onetoone by looking at its graph.
We can use
the Horizontal Line Test to determine if a function is onetoone.
Horizontal Line Test
:
A function is onetoone if no horizontal line intersects its graph
in more than one point.
Example 1:
Determine if the function whose graph is given is onetoone.
Example 2:
Determine if the function whose graph is given is onetoone.
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Example 3:
Which of these functions are onetoone?
(a)
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 Summer '08
 MARKS
 Inverse Functions, Continuous function, Inverse function, Injective function, Inverses

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