Math Is Fun Forum

rakhi

Member

Registered: 2012-06-14

Posts: 3

Grap Drawing

DRAW a graph of y=x+|x|

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Grap Drawing

Hi rakhi

First, try splitting the function into two separate cases. In the fisrt case, find what the function looks like for

, and in the second case see how that function looks for

.

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
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Bob

Administrator

Registered: 2010-06-20

Posts: 10,582

Re: Grap Drawing

hi rakhi

Welcome to the forum!

When I get questions involving |x| I try to split the problem into three parts:

(i) What happens when x > 0  ?

(ii) What happens when x = 0 ?

(iii) What happens when x < 0 ?

(i) x > 0

abs(x) = x

so y = x + x = 2x

(ii) x = 0

y = 0

(iii) x < 0

abs(x) = -x

so y = x - x = 0

The graph below was made using the MIF function grapher at

http://www.mathsisfun.com/data/function … =-8&ymax=8

Hope that helps,

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob