Grafik Üzerinde Türevsizlik Noktalarını Bulma

17) $y = f(x)$

$f(x)$ fonksiyonunun $[-2, 5]$ aralığında türevli olmadığı noktaların apsislerini bulunuz.

Soruda görsel içerik var: A piecewise function $y = f(x)$ is sketched on a Cartesian coordinate system. The graph starts from $x < -2$ and goes up to $x = 5$. At $x = -2$, there is a sharp corner (cusp/vertex). At $x = -1$, the graph crosses the x-axis. As $x$ increases from $-1$ to $1$, the graph is a line; at $x = 1$, there is a jump discontinuity: the left limit approaches $y=2$ (open circle) and the function starts from $y=1$ (filled circle). Between $x=1$ and $x=3$, there is a parabolic curve reaching a local minimum at $x=2$ (tangent to x-axis). At $x=3$, there is another sharp corner (peak). Between $x=3$ and $x=5$, there is another curve with a local minimum at $x=4$ and a filled point at $x=5$. Points marked on the x-axis are $-2, -1, 1, 2, 3, 4, 5$. Points marked on the y-axis are $1, 2$.