How do you evaluate the function #f(x)=absx-5# for f(-6)?

Answer 1

Hazel Anglin

#1#

The #color(blue)"absolute value"# is always positive. This is because it is a measure of how far a value is from zero.

#rArr|-4|=|4|=4# since both - 4 and 4 are 4 units from zero.

#f(x)=|x|-5#

#rArrf(color(red)(-6))=|color(red)(-6)|-5#

#=6-5=1#

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Answer 2

Jace Anderson

f(-6) = 1

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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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