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Sketch the graph of the function defined by the equation $f(x)=x^{2} e^{-2 x}$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 4

The Derivative of the Exponential Function

Campbell University

Oregon State University

McMaster University

Lectures

02:25

Sketch the graph of the fu…

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Sketch a graph of the give…

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So this is the graph of X square Exponential of -2 x. Okay, For negative X, the exponent is positive, so it's growing and growing very fast. But for the positive X, the exponential eventually dominates there extra square, and eventually that the limit is going to go 20 for large x.

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