Given the function
Determine for which values of x the following holds:
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Given the function
Determine for which values of x the following holds:
To solve this problem, let's work through the following steps:
Step 1: Analyze the inequality .
Since for all real and when , we know when . However, the expression is always less than or equal to zero because multiplying a non-negative by gives a non-positive result.
Therefore, cannot be true for any real .
Step 2: Conclude based on this analysis.
The only scenario where could have been greater than zero is if we had a positive term offsetting it, which is not the case.
Hence, there are no values of for which .
The correct answer based on the provided choices is No x.
The graph of the function below does not intersect the \( x \)-axis.
The parabola's vertex is marked A.
Find all values of \( x \) where
\( f\left(x\right) > 0 \).
Because for all real numbers, and multiplying by -7 (negative) makes the result non-positive. The maximum value is 0 when x = 0.
Then x = 0 would be the only solution! The function equals zero at x = 0 and is negative everywhere else.
Look at the coefficient of . If it's negative and there's no positive constant term, the parabola opens downward with maximum value ≤ 0.
Absolutely! Graph and you'll see it's a downward-opening parabola with vertex at (0,0). The entire graph lies on or below the x-axis.
Because the question asks when (strictly greater than zero). Since for all x, there are no values where it's positive.
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