Question

which sentence is the most accurate definition of an identity?
A) an identity is an equation that is true for all real numbers
B) an identity is an equation that is true for all real values in its domain
C) an identity in an equation that is true for all real values in its range
D) an identity is an equation that can be verified by substituting input values.

Answer 1

i know A isn't right because it's not always true

Answer 2

Good, then it's c.

Answer 3

it's not c

Answer 4

Is it d? Amazing.

Answer 5

How about doing the work yourself.

Answer 6

that was a little mean.

Answer 7

i would go with B since it has to be true, but would only make sense for numbers in the domain

Answer 8

like for example
\[\frac{1}{x}=\frac{2}{2x}\] is an identity ( a rather simple one) but is not true if \(x=0\)

Answer 9

In mathematics an identity is an equality relation A = B, such that A and B contain some variables and A and B produce the same value as each other regardless of what values

Answer 10

i think it is D

Answer 11

i thought D was true as well because you would already have the values needed to check

Answer 12

another county heard from
you do not verify an identity by checking with values
you do it mostly by algebra

Answer 13

\[2(x+3)=2x+6\] is an identity via the distributive property, not by checking with numbers

Answer 14

Boo hoo.

Answer 15

Its B an identity is an equation that is true for all real values in its domain