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Determine the point(s), if any, at which the graph of the function has a tangent line with the given slope. Function y = x^2 + 2x Slope m = −8

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Batolisisidn

The point at which the graph of the function has a tangent line with the given slope is (-5,15)

What is a tangent?

A tangent is a straight line that touches any point on a curve.

Analysis:

slope of the curve [tex]x^{2}[/tex] + 2x is equal to dy/dx = d/dx( [tex]x^{2}[/tex] + 2x) = 2x+2

Which is equal to -8

2x+2 = -8

2x = -8-2

2x = -10

x = -5

substitute x into the equation

y = [tex](-5)^{2}[/tex] + 2(-5) = 25 - 10 = 15

In conclusion, the point at which the graph of the function has a tangent at -8 is (-5,15)

Learn more about tangent to curves: brainly.com/question/22426360

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