Because f represents a function.
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Because each vertical lines meets its graph in a unique point.
the graph of a quadratic function is a parabola. hope this helps xP
MATH 1003?
Odd Function
A function f(x) is even if f(-x) = f(x). A graph of f(x) would be symmetric about the y-axis (vertical symmetry about x=0). f(x) need not be "well-behaved" or even continuous, unlike the examples given in Wikipedia article on "Even and odd functions". The article does make this clear - under "Some facts".