Question

What is the range of f(x) = -|x| ?

(a) R (b) R+ (c) R- (d) none of these

Answer 1

Answer:

1. f(x)=|x|. The range of f(x) is [0,∞), which is all non-negative real numbers.

Answer 2

The given function is f(x) = -|x|

We know that, the value of |x| is always positive, even for negative values of x.

Now, when a positive integer (here |x|) is multiplies with a negative sign, the result will always be a negative integer.

Hence, we conclude that -|x| or f(x) is a negative integer for all real values of x.

Thus, range of f(x) becomes, R-

So, correct option is (c) R-