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constant
even, range is value of c, domain is all real numbers

liner/direct/identity
odd, domain a.r.n, range a.r.n

quadratic/2nd degree
even, domain all real numbers, range is [0, infinity)

square root function
neither, domain [0, infinity), range [0, infinity)

cubic/3rd degree
odd, domain a.r.n, range a.r.n

cube root function
odd, domain a.r.n, range a.r,n

absolute value
even, domain a.r.n., range [0, infinity)

greatest integer, floor, or step function
neither, domain a.r.n, range all integers (z)

exponential
neither, domain all real numbers range (0, infinity), asymptote y = 0

logarithmic
neither, domain (0, infinity), range all real numbers, asymptote x = 0

sine function
odd, domain all real numbers, range [1, -1]
![<p>odd, domain all real numbers, range [1, -1]</p>](https://assets.knowt.com/user-attachments/dfa7725b-d1cc-476c-9e6c-5203518fcc30.png)
cosine function
even, domain all real numbers, range [-1,1]
![<p>even, domain all real numbers, range [-1,1]</p>](https://assets.knowt.com/user-attachments/b445cf5e-3069-4e50-ada0-cefc75d3c2f4.png)
rational/inverse variation function (1/x)
odd, domain (-inf, 0)U(0, inf), range (-inf, 0)U(0, inf), asymptotes x = 0 and y = 0
