Use the below applet to graph the $x(t)$. Use the slider $n_c$ to specify the number of critical points of $x(t)$. Move the right two points to specify the shape of the graph of $x(t)$. Move the left point up and down to shift the graph vertically. (If the left point is not visible, you can move the right two points until left part of the graph, and hence the left point, becomes visible.)

The applet will grade your graph based on the initial condition and intervals where $x(t)$ is increasing and decreasing. Getting the precise shape of the graph of $x(t)$ is not important (and may be impossible to achieve with the applet).

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t > 5

3 < t < 5

t > 0

never