Question

The range of f(x)=|x| is y≥0. If a<0 for g(x)=a|x|, what is the range of function g?

Answer 1

We have the following:

`\begin{gathered} f\mleft(x\mright)=|x| \\ R=y\ge0 \\ \text{ now,} \\ a<0 \\ g(x)=a|x| \end{gathered}`

Being a less than 0, all the values that are multiplied were less than zero or zero, because even if a does not include 0, x can be 0, therefore, the range would be:

`y\leq0`

The answer is the option D