What is the range of the function f (x) = - 2|x + 1|?

all real numbers

all real numbers less than or equal to 0

all real numbers less than or equal to 1

all real numbers greater than or equal to 1

The range is the set of 'y' values that result from the given domain.

Since the absolute value of any real number is a positive, the range is all the real numbers less than or equal to 0.

We can see this by placing x = 1 and hence getting 0.

x = 1 and we get - 2