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Molodets [167]
3 years ago
8

Over which interval is the graph x^2+3x+8 increasing

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0
F(x) = <span>x^2+3x+8

now, the pending of the tangent line is d/dx f(x)
f'(x) = 2x + 3
now, we need know when the pending is increasing.
so
</span>2x + 3> 0

solving
x>-3/2

The interval over which the function f(x)= x^2+3x+8 is <span>increasing is (-3/2,+</span>∞<span>)</span><span>
</span>
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The slope-intercept form of the given line be,

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Using the slope-intercept form, we get

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