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)

option C

Step-by-step explanation:

y={

      {

LEts graph each equation by creating a table

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

a negative exponent is translated as follows:

so, we have