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 , ∞)