Types of Real Functions 

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1.Proposition: Nth Roots of Positive Numbers 

2.Definition: Polynomials 

3.Definition: Rational Functions 

4.Proposition: Exponential Function 

5.Logarithms 

6.Trigonometric Functions 

7.Cyclometric Functions 

8.Hyporbolic Functions 

9.Inverse Hyperbolic Functions 

10.Mixed Functions 

11.Example: Examples of Real Functions, Whose Graphs Cannot be Plotted 

12.Definition: Constant Function Real Case 

13.Definition: Linear Function 

14.Definition: Step Functions 

15.Definition: Real Identity Function 

16.Definition: Real Absolute Value Function 

17.Definition: Reciprocal Function 

18.Definition: Positive and Negative Parts of a Real-Valued Function 

19.Proposition: Nth Powers 

20.Proposition: Rational Powers of Positive Numbers 

21.Proposition: General Powers of Positive Numbers