Question

the absolute value function, f(x) = –|x| – 3, is shown. what is the range of the function? all real numbers all real numbers less than or equal to 0 all real numbers greater than or equal to –3 all real numbers less than or equal to –3

Answer 1

Range is : all real numbers less than or equal to –3

Explanation:

Range of a function f(x) is defined as set of all real possible values of f(x) such that the function is defined.

the given function is : -|x| - 3

Now, since absolute function only writes positive value so least value of |x| is 0

⇒ Greatest value of -|x| - 3 is -3

And least value is not fixed So the least possible value of f(x) is -∞

So, the range of f(x) is (-∞,-3]

Hence, Range is : all real numbers less than or equal to –3

Answer 2

The range is all real numbers less than or equal to –3