Domain and Range of Common Functions - Answers

These are the answers to the questions in the tutorial: Graph, Domain and Range of Common Functions.

  1. linear function f(x) = x

    domain : (- ∞ , + ∞)

    range : (- ∞ , + ∞)

  2. squaring function f(x) = x2

    domain : (- ∞ , + ∞)

    range : [0 , + ∞)

  3. cubing function f(x) = x3

    domain : (- ∞ , + ∞)

    range : (- ∞ , + ∞)

  4. absolute value function f(x) = |x|

    domain : (- ∞ , + ∞)

    range : [0 , + ∞)

  5. square root function f(x) = sqrt(x)

    domain : [0 , + ∞)

    range : [0 , + ∞)

  6. cube root function f(x) = cubeRoot(x)

    domain : (- ∞ , + i∞)

    range : (- ∞ , + ∞)

  7. natural exponential function f(x) = ex

    domain : (- ∞ , + ∞)

    range : (0, + ∞)

  8. natural logarithmic function f(x) = ln(x)

    domain : (0 , + ∞)

    range : (- ∞, + ∞)


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Updated: 2 April 2013

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