Exercise 4.1.3: Recognizing well-defined algebraic functions and their ranges.

Exercise 4.1.3: Recognizing well-defined algebraic functions and their ranges. Which of the following are functions from R to R? Iffis a function, give its range. (a) f(x) = 3 Solution Not a function. If x is negative, then f(x) is an imaginary number, not a real number. f(x) = 1/(x2 4) f(x) = x2