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How do you find the domain and range of #x+3 =0#?

Answer 1

Ethan Adkins

The domain is all real numbers, and the range is a single point: {-3}.

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Answer 2

Hazel Anglin

#color(red)(x+3=0)# is an equation
It is not a function.
The terms "domain" and "range" only apply to functions.

Possibility 1: You really wanted the solution #color(white)("XXX")x=-3#

Possibility 2: You wanted the domain and range of #f(x)=x+3# #color(white)("XXX")#Domain: #x in RR (or CC)color(white)("xxxx)#all possible values of #x# are valid #color(white)("XXX")#Range: #f(x) in RR (or CC)color(white)("xxx")#any value can be generated using a suitable value for #x#

Possibility 3: This was a trick question if see if you knew that the terms do not apply to equations

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Answer 3

Eva Adamson

domain: #(-3)#
range: #(-oo,oo)#

domain: the range of values #x# could take

#x+3=0#
#x=0-3 = -3#

here, #x# can only take one value, so the domain is #(-3)#

range: the range of values #y# could take:

since the only condition for the line is that #x=0#, #y# could take any real value,
so the range is #(-oo,oo)#

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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.