I have found the coordinates of Q (0,1) , by putting x=0 and solving f(x).Figure 1 shows the graph of y = f (x),

The graph consists of two line segments that meet at the point P.

The graph cuts the y-axis at the point Q and the x-axis at the points (–3, 0) and R.

given that $\displaystyle f(x) = 2 - |x+1 | $

A) find the coordinates of P , Q and R.

B) solve $\displaystyle f(x) = \frac{1}{2}x $

But I am not sure how to find R and P.

Also for part 'B',

should it be like this;

$\displaystyle 2 - |x+1 |= \frac{1}{2}x $

$\displaystyle 2 - |x+1 |= -\frac{1}{2}x $