What is the range of the function f(x)=3/4 |x|-3

all real numbers
all real numbers less then or equal to 3
all real numbers less than or equal to -3
all real numbers greater than or equal to -3

The range of the given function is:

We are given a modulus function f(x) by:

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

d. all of the above

step-by-step explanation: