Graph the piecewise-defined function.

We are asked to graph the function:

f(x)=   sin x  ; if  x≤ 0

  and    |x|   ; if x > 0

We know that the function |x| is evaluated as:

|x|=   -x   ; if x≤0

and   x  ; if x > 0

Hence, we have to graph the function:

f(x)   =    sin x  ;   if x ≤ 0

   and      x      ;   if  x > 0

Also the function is continuous at x=0.

Since the Left hand limit and the right hand limit of the function exist and is equal to the value of the function at x=0.

i.e. f(0)=0.

The graph is plotted as the graph of sin (x) in the region (-∞,0] and y=x in the region (0,∞).

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: