Question

f(x) {|x| +2, if x<0
{ 2, if x > or equal to 0

What are the steps to graphing these?

Answer 1

Ok, if x < 0, then
|x| = -x, right?

Answer 2

yes

Answer 3

So your function can be replaced by
f(x) = {-x + 2, x < 0
{ 2 , x > 0 or x = 0

Right?

Answer 4

mhm

Answer 5

Here's the cartesian plane.

Answer 6

And here is the graph of y = 2

But The function is only y = 2 for values of x which are greater than or equal to 0, so, we lose the part where x is less than 0.

Answer 7

Here is the graph for y = -x + 2, superimposed upon the graph of y = 2

Answer 8

But y = -2 + x only for values of x less than 0, so we should lose the part where x > 0 and where x = 0, so we are left with this part:

(the black part)

Answer 9

oh i see now. it's just half/half of each graph. the way they put it makes it look tricky. Thanks for your help.

Answer 10

No problem :)