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    Mathematics
    Grade10
    Easy

    Question

    Find the domain and range of the function g(x) = open parentheses fraction numerator negative 1 over denominator 4 end fraction close parenthesesIxI

    1. D: xless or equal than0, R: All real numbers    
    2. D: xless or equal than0, R: g(x) greater or equal than5    
    3. D: All real numbers, R: g(x)less or equal than0    
    4. D: All real numbers, R: g(x)less or equal than5    

    hintHint:

    We simply plug in different values of x regardless of positive or negative and keep observing the values of y. Then, we conclude the domain as well as the range.

    The correct answer is: D: All real numbers, R: g(x)less or equal than0

      Step 1 of 1:
      x = -2, g(x) = -0.5
      x = -1, g(x) = -0.25
      x = 0, g(x) = 0
      x = 1, g(x) = -0.25
      x = 2, g(x) = -0.5
      The value of x can be anything. So, the domain of g is all real numbers. And we can see the value of g(x) is always negative or zero. The range of g is g(x) less or equal than 0.
      Final Answer:
      The right choice is-- D. D: All real numbers, R: g(x)less or equal than0

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