Look at the following function:
Determine for which values of the following is true:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Look at the following function:
Determine for which values of the following is true:
The function given is . This is a quadratic function where the coefficient of (which is ) is positive, indicating the parabola opens upwards.
Let’s calculate the vertex to find the minimum value of . The vertex of a parabola described by is found at .
Here, , . So the vertex is at:
Substitute into the function to calculate the minimum value of .
The minimum value of the function is at .
Given the opening direction of the parabola and the positive minimum value, the function is always greater than 0.
Thus, the function is positive for all values of .
The function is positive for all values of .
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 \( f\left(x\right) > 0 \).
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