image

    Have a query? Ask a Tutor!!

    Access to best educators and exclusive paper discussions

    Offsite CampusTurito Championship

    Can’t find what you’re looking for?

    Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

    • Homework- One to One Solutions
    • Understand concepts to solve better
    • Get your doubts solved instantly
    Mathematics
    Grade10
    Easy

    Question

    Find the domain and range of the function.
    g(x) = 1.5 IxI

    1. D: All real numbers, R: g(x)greater or equal than0    
    2. D: Positive numbers, R: g(x)greater or equal than1.5    
    3. D: Positive numbers, R: g(x)less or equal than0    
    4. D: All real numbers, R: g(x)less or equal than1.5    

    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)greater or equal than0

      Step 1 of 1:
      x = -2, g(x) = 3
      x = -1, g(x) = 1.5
      x = 0, g(x) = 0
      x = 1, g(x) = 1.5
      x = 2, g(x) = 3
      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 positive or zero. The range of g is g(x) greater or equal than 0.
      Final Answer:
      The right choice is-- A. D: All real numbers, R: g(x)greater or equal than0

      Related Questions to study

      card img

      With Turito Academy.

      card img

      With Turito Foundation.

      card img

      Get an Expert Advice From Turito.

      Turito Academy

      card img

      With Turito Academy.

      Test Prep

      card img

      With Turito Foundation.