Domain and Range of Common Functions - Answers

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1. linear function f(x) = x
   
   domain : (- infinity , + infinity)
   
   range : (- infinity , + infinity)
   
   
2. squaring function f(x) = x²
   
   domain : (- infinity , + infinity)
   
   range : [0 , + infinity)
   
   
3. cubing function f(x) = x³
   
   domain : (- infinity , + infinity)
   
   range : (- infinity , + infinity)
   
   
4. absolute value function f(x) = |x|
   
   domain : (- infinity , + infinity)
   
   range : [0 , + infinity)
   
   
5. square root function f(x) = sqrt(x)
   
   range : [0 , + infinity)
   
   range : [0 , + infinity)
   
   
6. cube root function f(x) = cubeRoot(x)
   
   domain : (- infinity , + infinity)
   
   range : (- infinity , + infinity)
   
   
7. natural exponential function f(x) = e^x
   
   domain : (- infinity , + infinity)
   
   range : (0, + infinity)
   
   
8. natural logarithmic function f(x) = ln(x)
   
   domain : (0 , + infinity)
   
   range : (- infinity, + infinity)