Linear Function Analysis: Finding the Negative Domain from a Graph

Great question! Negative domain means where the function output $y < 0$ (below x-axis). This is different from where $x < 0$ (left of y-axis). Always focus on the height of the graph!

Look for parts of the line that are below the x-axis (horizontal line). If the entire graph stays above or on the x-axis, like in this problem, then the function is never negative.

Yes! A horizontal line above the x-axis (like $y = 3$) is always positive. It never crosses below the x-axis, so it has no negative domain.

If the line lies exactly on the x-axis, then $y = 0$ everywhere. This means the function is neither positive nor negative - it's zero!

Zeros are where $y = 0$ (crosses x-axis). Negative domain is where $y < 0$ (below x-axis). They're related but different concepts!