What is the range of the function y = -|x|?
x ≤ 0
y ≤ 0
all real numbers

Hello!

The range of a function is all the y values it spans.

In this case, we are presented an equation y = -|x|. We can figure out the range from this information. For now, let's look at the parts individually.

The | | indicates absolute value. Absolute value is the distance a number is from 0. For example, the absolute value of -3, or |-3|, would be 3, as -3 is 3 away from 0. From only absolute value, the range would be y is greater than or equal to 0, as all numbers are a positive number away from 0.

Now, add the negative symbol. This means that the always positive result of the absolute value would become always negative. This, therefore, gives us our final solution - y is less than or equal to 0.

Therefore, your answer is the second choice, or y ≤ 0.

Hope this helps!