Mathematics
Grade10
Easy

Question

Find the domain and range of the function.
h(x) = 3.5IxI

  1. D: xless or equal than1/3.5, R: All real numbers    
  2. D: xless or equal than0, R: g(x) greater or equal than3.5    
  3. D: All real numbers, R: g(x) greater 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) greater or equal than0


    Step 1 of 1:
    x = -2, h(x) = 7
    x = -1, h(x) = 3.5
    x = 0, h(x) = 0
    x = 1, h(x) = 3.5
    x = 2, h(x) = 7
    The value of x can be anything. So, the domain of h is all real numbers. And we can see the value of h(x) is always positive or zero. The range of h is h(x) greater or equal than 0.
    Final Answer:
    The right choice is-- C. D: All real numbers, R: h(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.