Question

What is the range of the function f(x)

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

Answer 1

Its d

I think

Answer 2

(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 , ∞)

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 -3

So, the range of function f(x) is set of all x, such that x ≥ -3

or R = [-3 , ∞)