<s>
In	O
analytic	O
geometry	O
,	O
using	O
the	O
common	O
convention	O
that	O
the	O
horizontal	O
axis	O
represents	O
a	O
variable	O
x	O
and	O
the	O
vertical	O
axis	O
represents	O
a	O
variable	O
y	O
,	O
a	O
y-intercept	B-Algorithm
or	O
vertical	B-Algorithm
intercept	I-Algorithm
is	O
a	O
point	O
where	O
the	O
graph	B-Application
of	I-Application
a	I-Application
function	I-Application
or	O
relation	B-Algorithm
intersects	O
the	O
y-axis	O
of	O
the	O
coordinate	O
system	O
.	O
</s>
<s>
If	O
the	O
curve	O
in	O
question	O
is	O
given	O
as	O
the	O
y-coordinate	O
of	O
the	O
y-intercept	B-Algorithm
is	O
found	O
by	O
calculating	O
Functions	O
which	O
are	O
undefined	O
at	O
x	O
=	O
0	O
have	O
no	O
y-intercept	B-Algorithm
.	O
</s>
<s>
If	O
the	O
function	O
is	O
linear	O
and	O
is	O
expressed	O
in	O
slope-intercept	O
form	O
as	O
,	O
the	O
constant	O
term	O
is	O
the	O
y-coordinate	O
of	O
the	O
y-intercept	B-Algorithm
.	O
</s>
<s>
Some	O
2-dimensional	O
mathematical	O
relationships	O
such	O
as	O
circles	O
,	O
ellipses	O
,	O
and	O
hyperbolas	O
can	O
have	O
more	O
than	O
one	O
y-intercept	B-Algorithm
.	O
</s>
<s>
Because	O
functions	O
associate	O
x	O
values	O
to	O
no	O
more	O
than	O
one	O
y	O
value	O
as	O
part	O
of	O
their	O
definition	O
,	O
they	O
can	O
have	O
at	O
most	O
one	O
y-intercept	B-Algorithm
.	O
</s>
<s>
Analogously	O
,	O
an	O
x-intercept	O
is	O
a	O
point	O
where	O
the	O
graph	B-Application
of	I-Application
a	I-Application
function	I-Application
or	O
relation	B-Algorithm
intersects	O
with	O
the	O
x-axis	O
.	O
</s>
<s>
The	O
zeros	O
,	O
or	O
roots	O
,	O
of	O
such	O
a	O
function	O
or	O
relation	B-Algorithm
are	O
the	O
x-coordinates	O
of	O
these	O
x-intercepts	O
.	O
</s>
<s>
Unlike	O
y-intercepts	B-Algorithm
,	O
functions	O
of	O
the	O
form	O
y	O
=	O
f(x )	O
may	O
contain	O
multiple	O
x-intercepts	O
.	O
</s>
<s>
The	O
x-intercepts	O
of	O
functions	O
,	O
if	O
any	O
exist	O
,	O
are	O
often	O
more	O
difficult	O
to	O
locate	O
than	O
the	O
y-intercept	B-Algorithm
,	O
as	O
finding	O
the	O
y	B-Algorithm
intercept	I-Algorithm
involves	O
simply	O
evaluating	O
the	O
function	O
at	O
x	O
=	O
0	O
.	O
</s>
