The range of the given function is:
We are given a modulus function f(x) by:
      [tex]f(x)=\dfrac{3}{4}|x|-3[/tex]
From the graph of the function we may see that the graph continuously decreases from x= ∞ to x=0 and at x=0 the function  attains the values ,
                 f(0)= -3
and then it again increases continuously and goes to infinity.
Hence, the function covers all the real values between -3 to ∞
i.e. The range of the function in interval form is: [-3,∞)
     Hence, the answer is:
  All real numbers greater than or equal to -3​
