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

When is f(x)<0 f(x)<0 ?

2-8

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

When is f(x)<0 f(x)<0 ?

2-8

2

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 .

3

Final Answer

x<2 x < 2

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( x^2+4>0 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Equations and Systems of Quadratic Equations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations