Question

Which is the graph of the piecewise function f(x)?

Answer 1

Answer: First Option is correct.

Explanation:

Since we have given that

`f(x)=-x+1,x<0\\\\f(x)=x+1,x\geq 0`

If we let f(x)=y

then, y=x+1 and y=-x+1

Put x=0,

`y=0+1\\\\y=1`

so, there must be coordinate on y -axis at 1.

and it must take Ist and II nd quadrant .

Hence, First Option is correct.