Given the function:
Determine for which values of x is true
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Given the function:
Determine for which values of x is true
To solve the problem, we need to understand when the function is greater than 0.
1. **Analysis of the Function**: The given function is . Here, represents the output of the quadratic expression, where the coefficient of is negative (). This means that for every input , the output is the negative of .
2. **Properties of the Square**: The expression is always non-negative, i.e., for all real numbers . This implies:
3. **Impact of the Negative Sign**: Since :
4. **Conclusion on Positivity**: There are no values of for which is greater than 0, as for all real . Thus, the function is never positive.
Therefore, the solution to this problem is No .
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 \( f\left(x\right) > 0 \).
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