How do you graph #Y=[x]-5#?

Answer 1

As shown below...

In this case i will assume that you mean #[x] -= |x| #
Now we must graph # y= |x| # first of all...
This just mean the line # y = x # but where there are any negative values of #y# we make them there possitive counterpart...
#y = |x| :# graph{y =|x| [-9.67, 10.33, -3.56, 6.44]}
Now we can just perform the tranformation of shiting it down by #5#:
# y = |x| -5 #:

graph{y = |x| -5 [-9.295, 10.705, -8.16, 1.84]}

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Answer 2

To graph the function ( y = \lfloor x \rfloor - 5 ), where ( \lfloor x \rfloor ) represents the greatest integer less than or equal to ( x ), you would graph the function ( y = x - 5 ) for each interval between consecutive integers. Then, you would replace the portion of each graph between consecutive integers with a horizontal line at ( y = -5 ). This creates a step-like graph where the function jumps down by 5 at each integer value of ( x ).

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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.

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.

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.

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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