Q:

What is the range of the function f(x)all real numbersall real numbers less than or equal to 3all real numbers less than or equal to -3all real numbers greater than or equal to -3

Accepted Solution

A:
Answer:(1)  R = All real numbers  : R   = (- ∞ , ∞)  (2)  R = All real numbers less than or equal to 3  :   R  = (- ∞ , 3]  (3)  R  = All real numbers less than or equal to -3    : R  = (- ∞ , -3]  (4) R = All real numbers greater than or equal to -3  :  R  = [-3 , ∞) Step-by-step explanation:RANGE : The set of all output values of a function  f(x) is called the Range Set of the given function.Now, here the given function is f(x). Here, (1)  R = All real numbers So, the range of function f(x)  = (- ∞ , ∞)  = R(2)  R = All real numbers less than or equal to 3  So, the range of function f(x)  is set of all x, such that  x ≤ 3  or R  = (- ∞ , 3]  (3)  R  = All real numbers less than or equal to -3 So, the range of function f(x)  is set of all x, such that  x ≤ -3  or R  = (- ∞ , -3]  (4) R = All real numbers greater than or equal to -3So, the range of function f(x)  is set of all x, such that  x ≥ -3  or R  = [-3 , ∞)