Question

Which equation represents a nonlinear function?

A. y = x + 7
B. y = 3x – 1
C. y = 3x^2 + 1
D. y = x – 1/2

Answer 1

technally all of them are non linear, linear must contain the origin. The question shuold have asked which one is not affine. correct your teacher:)

Answer 2

@zzr0ck3r How dumb are you linear functions do not have to contain the origin I want to meet your teacher Y-INTERCEPT DUMB Y=MX+B

Answer 3

they do, its a common misconception...look it up. b must = 0 for them to be affine.
ie f(x+y) = f(x) + f(y)

Answer 4

http://mathforum.org/kb/message.jspa?messageID=242695
feel free to read befor you call people dumb...

Answer 5

This is BASIC ALGEBRA

Answer 6

I meant to say b must equal 0 for it to be linear...

Answer 7

NOT PHYSICS

Answer 8

Again dont tell me im wrong, go look it up...

Answer 9

I know that in physics it is but it is irrelevant to say that at this point

Answer 10

no its not, its math.....by definition ....

Answer 11

But the closest answer is C, right?

Answer 12

most of math is the study of vector spaces...all of math....so its a must.

Answer 13

-________________________________________________________________________-
"In the fields of physics and engineering, which is where I'm coming from,"

Answer 14

correct the intended answer is C

Answer 15

again I dont care about what someone posted on a site. look up the deffinition.
http://en.wikipedia.org/wiki/Linear_function

Answer 16

Alright, thanks guys

Answer 17

"So, all affine combinations are linear combinations but not conversely."

Answer 18

FROM YOUR SOURCE ~.~

Answer 19

In mathematics, a linear function means a function that is a linear map, that is, a map between two vector spaces that preserves vector addition and scalar multiplication. For example, if and are represented as coordinate vectors, then the linear functions are those functions that can be expressed as

where M is a matrix. A function

is a linear map if and only if = 0. For other values of this falls in the more general class of affine maps.

Answer 20

here m is a 1x1 matrix

Answer 21

point being just because someone on a site says this is why there is a common mmisconception does not mean we should ignore it.

Answer 22

the same page you took that from explains the definition, so dont pick the quote that says nothing is my point

Answer 23

anyway ...now you know:)