Question

can anyone explain to me whether this graph represents a linear graph? thank you!

Answer 1

http://vvcap.net/db/nWCGXEC0LKBqFwvgMF64.htp

Answer 2

is it because it lacks a vertical intercept?

Answer 3

a linear graph is a LINEar graph , if it looks like a line then it is linear. but that is not the case here

Answer 4

its not a linear graph , a linear graph is always represented by a straight line

Answer 5

what if its a "v" shape line?

Answer 6

then it depends on domain you take

Answer 7

can't a simple graph tell you if it is or not?

Answer 8

http://vvcap.net/db/-ckK1TtoGd1D3LLsEC7m.htp for example

Answer 9

i would say it is composed of 2 linear graphs intersecting at a point

Answer 10

you could also say it is an absolute value graph

Answer 11

thanks!

Answer 12

it is not absolute value graph @jtvatsim

Answer 13

why not?

Answer 14

absolute value graph is as shown :

Answer 15

hey, im sorry the question is about linear functions

Answer 16

right , but choose this functions:
\[-|x-2|+4\]

Answer 17

would it be a linear function?

Answer 18

oh ok i see :)

Answer 19

yep its linear

Answer 20

the original line?

Answer 21

in the original question?

Answer 22

The question of whether an absolute value function is linear is debated, but it looks (from a quick google search) that it is NOT considered to be a linear function since the entire graph cannot be written as y = mx + b.

Answer 23

I would requote

"then it depends on domain you take"

"i would say it is composed of 2 linear graphs intersecting at a point"

Answer 24

thats the rule right? the value of b has some vertical intercept and there is change in f(x)

Answer 25

yep and we should be able to represent it using a single equation

Answer 26

@AravindG I would agree with that :)

Answer 27

stand down AravindG, jtvatsim beat you fair and square.dont have to be a nerd about it.

Answer 28

WTH ?

Answer 29

This is not some competition and we are people offering you help show some respect thanks