Question

What is the range of the function f(x) = -|3x + 3|?

Answer 1

The range of the function
`f(x) = -|3\cdot x+3|` is every positive real numbers plus zero.

Explanation:

According to definition of the absolute value, the range of absolute value covers positive real numbers or zero. A linear function is a continuous function, which means the existence of an image for every element from domain. The negative sign transforms the original range to all negative real numbers plus zero.

Hence, the range of the function
`f(x) = -|3\cdot x+3|` is every positive real numbers plus zero.