I'm trying to find out what the graph of:

Question

y= |x+1| + |x+2|
looks like. could someone help me out?

Answer 1

make a table of values , let's say, from x = -5 to x=5
You will see 3 distinct straight lines, the graph cannot go below y = 1

for x ≤ 2 it follows the line y = -2x - 3
for -2 < x < -1 it follows the line y = 1
for x ≥ -1 it follows the line y = 2x + 3

the interesting part is between -2 and 1

try x = -1.2 or x = -1.56, everything works out to y = 1