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Using the domain values {-1, 0, 4}, how do you find the range values for relation y=2x-10?

Answer 1

Eli Assouline

#y in{-12,-10,-2}#

#"substitute the values from the domain into "y=2x-10#

#x=color(red)(-1)toy=2(color(red)(-1))-10=-12#

#x=color(red)(0)toy=2(color(red)(0))-10=-10#

#x=color(red)(4)toy=2(color(red)(4))-10=-2#

#"range is "y in{-12,-10,-2}#

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Answer 2

Julia Adams

To find the range values for the relation ( y = 2x - 10 ) using the domain values {-1, 0, 4}, substitute each domain value into the equation and solve for the corresponding range value.

When ( x = -1 ): ( y = 2(-1) - 10 = -2 - 10 = -12 )

When ( x = 0 ): ( y = 2(0) - 10 = 0 - 10 = -10 )

When ( x = 4 ): ( y = 2(4) - 10 = 8 - 10 = -2 )

So, the range values corresponding to the given domain values are {-12, -10, -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.