Question

Which graph represents the piecewise function?

y={x+1   if  x≤0
{3x    if  x>0

Answer 1

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 2

option C

Explanation:

y={
`x+1\ if\ x\leq 0`

{
`3x \ if \ x>0`

LEts graph each equation by creating a table

`x+1\ if\ x\leq 0`

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