Question

How many x-intercepts can an absolute value graph have?

Answer 1

Answer:

Zero, One, Two

Step-by-step explanation:

• It can never touch the x-axis

when it's like

$y=a|x-b|+c$

with

$c>0$

it will be upward

• it can touch only once when it's like

$y=a|x-b|$

it will touch it in  $(b,0)$

• It can touch twice when it's like

$y=a|x-b|-c$

with

$c>0$

the equations are just an example, there can be other ways too

have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once