Question

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

Answer 1

Answer:

The range of the given function is:

•   All real numbers greater than or equal to -3​

Step-by-step explanation:

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

           $f(x)=\dfrac{3}{4}|x|-3$

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​

Answer 2

The answer is the forth one.