Original
A function is one-to-one on its domain if the horizontal line {{MATH_181}}
intersects the curve {{MATH_182}} in exactly one point, for all values {{MATH_183}} in the range of {{MATH_184}}. This is called
the {{CMD_185}}.
{{CMD_186}}
Below, we give a graph of {{MATH_187}}. While this graph passes
the vertical line test, and hence represents {{MATH_188}} as a function of {{MATH_189}},
it does not pass the horizontal line test, so the function is not
one-to-one.
{{CMD_190}}
{{ENV_191}}
{{CMD_192}}
Although the line {{MATH_193}} intersects the curve {{MATH_194}} exactly once, the function {{MATH_195}} is {{CMD_196}}not one-to-one{{CMD_197}} on its domain, since the line {{MATH_198}} intersects the curve twice.