Find Values Where f(x) < 0: Graph Analysis Problem

Look at the graph below and find all values of x x where f(x)<0 f\left(x\right) < 0 .

XXXYYY555

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the graph below and find all values of x x where f(x)<0 f\left(x\right) < 0 .

XXXYYY555

2

Step-by-step solution

To determine the values of x x where f(x)<0 f(x) < 0 , we need to visually inspect the provided graph to identify any segments where the curve is below the x-axis.

Upon examining the graph:

  • The function appears to start at a point on the x-axis and follows an upward trajectory, indicating that f(x)0 f(x) \geq 0 from this starting point onward.

  • There are no observed segments where the function dips below the x-axis within the provided graph window, suggesting that f(x) f(x) is always non-negative on the domain viewable in the graph.

The conclusion is that there are no values of x x for which the function is negative; it remains zero or positive throughout the graph.

Accordingly, the correct answer from the provided choices is choice 3: No such values.

3

Final Answer

No such values.

Practice Quiz

Test your knowledge with interactive questions

The graph of the function below intersects the X-axis at points A and B.

The vertex of the parabola is marked at point C.

Find all values of \( x \) where \( f\left(x\right) > 0 \).

AAABBBCCCX

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Quadratic Function 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