The function is negative at the following interval:
- As an interval, we have: (0.92, 5.08)
- As an inequality, we have 0.92 < x < 5.08
- As a set builder, we have: {x : R |0.92 < x < 5.08}
How to determine where the function is negative
The function is given as:
f(x) = 3x² 18x + 14
Rewrite the function properly as follows:
f(x) = 3x² - 18x + 14
Next, we plot the graph of the function
From the graph, the function is negative at the interval
x= 0.92 to x = 5.08
As an interval, we have:
(0.92, 5.08)
As an inequality, we have
0.92 < x < 5.08
As a set builder, we have:
{x : R |0.92 < x < 5.08}
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