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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​

what is the range of the function fx34 x3All real numbersAll real numbers less then or equal to 3All real numbers less than or equal to 3All real numbers greate class=

Respuesta :

The answer is the forth one.

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:

           [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​

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