5.1: Innerse Functions
Examples:
f(x)=x2
ات
g(x)=&
3
N
Values of can occur
Values of
yoccur only once
more than once
Proof: faw=4=f(z)
Def: A function is one-to-one if it
more
then once.
Q: How
never
takes
on the sere value
That is if a&b then fras #f(6)
can we show a
function is 1-1?
AI: Horizontal line text: A function is I if and only if wo horizontal
exi
Each horizontal
Wine interacts once,
this function is
1-1
H
"tersects the graph more than
ex
A
Fails, the horizontal
Vine test so the function
is not 1-1
once
fi
Examples:
f(x)=x2
ات
g(x)=&
3
N
Values of can occur
Values of
yoccur only once
more than once
Proof: faw=4=f(z)
Def: A function is one-to-one if it
more
then once.
Q: How
never
takes
on the sere value
That is if a&b then fras #f(6)
can we show a
function is 1-1?
AI: Horizontal line text: A function is I if and only if wo horizontal
exi
Each horizontal
Wine interacts once,
this function is
1-1
H
"tersects the graph more than
ex
A
Fails, the horizontal
Vine test so the function
is not 1-1
once
fi
