How do I find the solution set: for f(x)<0 and the solution set: f(x)greater than or equal to (symbol) 0 using a graph???

## how do i find the solution set for f(x)<0 and f(x) greater than or equl to 0 using a graph??

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# 1 Answer

You must remember that f(x)=y (value on the y-axis).

Well, you have an x-axis, and you look at where it intersects with the y-axis. At this point, y=0, and x=0.

As long as you move along the x-axis (to the left or to the right), the y-value will stay 0.

The x-axis is the key.

The x-axis is the key.

For every point above it, y>0.

Points where the graph of f(x) intersects with the x-axis: y=0.

Points below the x-axis: y<0.

**y**

^ y<0 for -1<x<1.3

` | y>=0 for x<=-1 and x>=1.3

` |

` 2-- `

` | `

` 1-- `

` | `

-----------------------------`---------|---|---|-------------------------->

**x** ` | 1 `2 3

|` `

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