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How do you find the domain and range of #y = -2x +3#?

Answer 1

Kennedy Adams

Domain: #(-oo,+oo)#
Range: #(-oo,+oo)#

#y=-2x+3#

#y# is defined #forall x in RR#

Hence the domain of #y# is #(-oo,+oo)#

#y# has no upper or lower bounds.

Hence the range of #y# is also #(-oo,+oo)#

These can be seen from the graph of #y# below.

graph{-x+3 [-59.3, 59.4]}, -118.6, 118.6

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Answer 2

Eli Assouline

To find the domain and range of ( y = -2x + 3 ):

Domain: Since there are no restrictions on the values of ( x ), the domain is all real numbers, or ( (-\infty, \infty) ).

Range: The range represents all possible values of ( y ). Since the equation is a linear function with a negative slope, the range is also all real numbers, or ( (-\infty, \infty) ).

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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.