Determine both the domain and the range of the function. $$y = f ( x ) = - 2 | x |$$
A)Domain: the set of real numbers greater than or equal to 0. Range: the set of real numbers.
B)Domain: the set of real numbers. Range: the set of real numbers less than or equal to 0.
C)Domain: the set of real numbers less than or equal to 0. Range: the set of real numbers.
D)Domain: the set of real numbers. Range: the set of real numbers greater than or equal to 0.
E)Domain: the set of real numbers greater than or equal to 0. Range: the set of real numbers less than or equal to 0.

Question

Quizplus · Accepted Answer

The domain of $y = -2|x|$ is all real numbers because there's no restriction on $x$ values for the absolute value function. The range is all real numbers less than or equal to 0 because the absolute value is always non-negative, and multiplying by -2 makes it non-positive.

Determine Both the Domain and the Range of the Function y=f(x)=−2∣x∣y = f ( x ) = - 2 | x |y=f(x)=−2∣x∣

Determine Both the Domain and the Range of the Function $y = f ( x ) = - 2 | x |$