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Bijective Function
All y values are used, no repeats, perfect one to one
f(x)=x^2 (quadratic) even or odd
even
f(x)=|x| (absolute value) even or odd
even
Niether
example: f(x)=|x|
Odd functions
f(-x)=-f(x), rotational symmetry about the origin
Even functions
f(-x)=f(x), symmetrical across y axis line
f(x)=square root of x (square root function) even or odd
niether
Injective Function
not all ys used, no repeats, one to one (horizontal line test)
f(x)=1/x (rational) even or odd
odd
f(x)=3√x (cube root) even or odd
odd
f(x)=x (linear) even or odd
odd
f(x)=x^3 (cubic) even or odd
odd
Surjective Function
y values can repeat, all ys are used, onto