Question

Which graph represents a piecewise function ?

Answer 1

Answer:

A

Step-by-step explanation:

A does. There is a gap at zero. A and D are your only real choices. Both show what happens at zero with minor variations and the devil is in the details. D shows that x is open ended when x = 0. That is not correct. The value should be x≥0 so y=2x is closed at x=0.

D is incorrect.

The answer is A.

Answer 2

Answer:

Option A.

Step-by-step explanation:

The given piecewise function is

$y=\begin{cases}x+3 & \text{ if } x$

We need to find the graph of given function.

For $x$, so the table of values is

x       y

-1     2

-2     1

-3     0

Because x<0, so for this piece of function there is an open circle at x=0.

For $x\geq 0, f(x)=x+3$, so the table of values is

x     y

0     0

1     2

2     4

Because $x\geq 0$, so for this piece of function there is a close circle at x=0, i.e., (0,0).

Only graph A passes through the points, which are mentioned in the above tables.

Therefore, the correct option is A.