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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


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