What is the domain and range of #x= 3#?

Answer 1

Depending upon your interpretation:
either
#color(white)("XXX")#the terms domain and range can't be meaningfully applied to #x=3#
or
#color(white)("XXX")#Domain: #{3}#; Range: #{x=3}#

With the restriction that no value in the domain can map into more than one value in the range, a function is a mapping of values from one set, known as the domain, into another set, known as the range.

#x=3# is not a function in the normal sense and therefore the terms domain and range are not applicable.

However you might argue that the relationship is #{3}rarrx# so Domain#={3}# and the Range#={x=3}#

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Answer 2

Eli Assouline

Domain: No restriction Range: Single value, x = 3

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.