Answer:
The point where the open circle can be drawn on the graph of the function f(x) is:
(0,0)
Step-by-step explanation:
The function f(x) is given by:
f(x)= -x when x < 0
and 1 when x ≥ 0
The graph of the function f(x) is a line with a negative slope in the region x<0
and is a straight line parallel to the x-axis in the region x ≥ 0.
We know that in a graph of the function f(x) the open circle is drawn at the point where the inequality is strict i.e. that x is close to some value but could not be equal to that value.
Here x < 0
This means that x is close to zero but does not take the value 0.
Also, when x is close to zero then f(x)= -0=0
Hence, the open circle is at (0,0)
