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How do you find #p(-6)# given #p(a)=a^3-4a#?

Answer 1

Eli Assouline

p(-6) equals -192.

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Answer 2

Julia Adams

See the entire solution process below:

To find #p(-6)# substitute #color(red)(-6)# for each occurrence of the variable #color(red)(a)# in the function from the problem:

#p(color(red)(a)) = color(red)(a)^3 - 4color(red)(a)# becomes:

#p(color(red)(-6)) = color(red)(-6)^3 - (4 xx color(red)(-6))#

#p(color(red)(-6)) = -216 - (-24)#

#p(color(red)(-6)) = -216 + 24#

#p(color(red)(-6)) = -192#

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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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