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What is a rule for the function identified by this set of ordered pairs {(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)?

Answer 1

Nathan Axel

#y=x^2#

Notice how in #(x,y)#:

#(1,1^2)#

#(2,2^2)#

#(3,3^2)#

#(4,4^2)#

#(5,5^2)#

The #y# value in here is denoted by #x^2#.

So, the rule is #y=x^2#.

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Answer 2

Nathan Axel

The rule for the function identified by the set of ordered pairs {(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)} is ( f(x) = x^2 ).

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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.

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