Which graph represents the piecewise function?
y={x+1 if x≤0
{3x if x>0

1) the last graph , note that the center with a white circle does not include the number zero for the function y = 3x and the points of intersection for y = x +1 are (-1,1)
Answer:
option C
Step-by-step explanation:
y={[tex]x+1\ if\ x\leq 0[/tex]
{[tex]3x \ if \ x>0[/tex]
LEts graph each equation by creating a table
[tex]x+1\ if\ x\leq 0[/tex]
y=x+1 we plug in x values less than or equal to 0
x y=x+1
-2 -1
-1 0
0 1
Graph ordered pairs (-2,-1) (-1,0) and (0,1)
now graph the next equation
y=3x , x values are greater than 0
x y=3x
0 0
1 3
2 0
ordered pairs (0,0) (1,3) (2,6)
When we graph both table then we will get the graph given in option C
option C is correct