Based on the data in the sketch, find for which X values the graph of the function
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Based on the data in the sketch, find for which X values the graph of the function
Based on the graph provided, we can see the entire function lies below the x-axis. Thus, there is no interval where .
To solve this problem, here's what we observed:
Therefore, the function has no domain where it is positive. Therefore, the solution is:
The function has no domain where it is positive
The function has no domain where it is positive
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
\( f\left(x\right) > 0 \).
A function is positive when its output values are greater than zero. On a graph, this means the curve is above the x-axis (horizontal line).
Yes! Some functions are always negative or zero. In this case, the entire graph stays below or on the x-axis, so there's no domain where .
If the graph only touches the x-axis, that point has , which is not positive. We need the graph to be strictly above the x-axis for positive values.
Look at the entire visible portion of the graph. Check if any part rises above the horizontal x-axis line. If not, then there are no positive values.
means strictly positive (above x-axis only). includes zero, so points on the x-axis would also count.
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