Sketch a Continuous Curve Having the Following Properties $\infty$ ,0) and F '(X) < 0 for (0,

question 18

Essay

Sketch a continuous curve having the following properties.
f(0) = 4, f(-2) = f(2) = 0; f '(x) > 0 for (- $\infty$ ,0) and f '(x) < 0 for (0, + $\infty$ ), f'(x) < 0 for (- $\infty$ , + $\infty$ ).

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Definitions:

Density

The mass per unit volume of a substance, indicating how compact or sparse the substance is.

Displace

To move or force something/someone away from their usual or original position.

Fragment

A smaller part or piece that has been broken off, separated, or incomplete from its original source.

Density

The density of a material is defined as its mass divided by its volume, typically expressed in grams per cubic centimeter or kilograms per cubic meter.