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

Essay

Sketch a continuous curve having the following properties.
f(0) = 1, f(-1) = f(1) = 0; f '(x) > 0 for (- $\infty$ ,0) and f '(x) < 0 for (0, + $\infty$ ), f'(x) < 0 for (- $\infty$ , + $\infty$ ).