Given the function:
Determine for which values of x holds
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Given the function:
Determine for which values of x holds
To solve this problem, we're given a quadratic function . We need to determine for which values of , . Let's start by examining the function.
The given function is quadratic, and it takes the form , where . It's important to note that the coefficient is positive.
For quadratic functions in the form , where , the graph of the function is a parabola that opens upwards. This means that the values of the quadratic function are non-negative for all real . Specifically, the value is always greater than or equal to zero, reaching zero exactly when .
For the inequality to hold, would have to be negative. Since the parabola opens upwards and the vertex (the minimum point) is at , there are no real that satisfy .
Therefore, for the given function , there are no values of for which .
Thus, based on the analysis, the correct choice is that there are no values of for which holds, which is No x.
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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