Finding Negative Regions: When is f(x) < 0 on Linear Function Graph

Question

When is f(x)<0 ?

2-8

Video Solution

Step-by-Step Solution

To determine when f(x)<0 f(x) < 0 , we analyze the graph shown. The point where the blue line intersects and crosses below the x-axis forms the critical point of interest.

By observing the graph, we see the blue line represents f(x) f(x) . Visual interpretation shows that the blue line dips below the x-axis before it reaches the x=2 x = 2 point and moves up at exactly this point.

Therefore, since the blue graph representing f(x) f(x) is below the x-axis when x<2 x < 2 , it implies that the interval for which f(x)<0 f(x) < 0 holds true is precisely x<2 x < 2 .

Hence, the solution to this problem is x<2 x < 2 .

Answer

x < 2


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