If we plug in 0.98 for x then we get y = [0.98] = 0
If we plug in 1 for x then we get y = [1] = 1
If we plug in 1.9 for x then we get y = [1.9] = 1
Basically what we do here is just cut off the decimal part, BUT..
If we plug in 0.99999999.for x with 9 recurring then y = [0.999999.] = 1.
This is a rather strange thing..this is because 0.99999999999999. equals 1.
Now, let's plug in a couple of negative numbers.
If we plug in 0.6 for x then y = [0.6] = 1
If we plug in 1 for x then y = [1] = 1
If we plug in 1.7 for x then y = [1.7] = 2
Consider y = [x 2].
If we plug in 2.6 for x then y = [2.6 2] = [0.6] = 0
If we plug in 2.98 for x then we get y = [2.98 2] = [0.98] = 0
If we plug in 2 for x then we get y = [2 2] = [0] = 0
Let's plug in a couple of negative numbers.
If we plug in 0.7 for x then y = [0.7 2] = [ 2.7] = 3
If we plug in 1 for x then y = [1 2] = [3] = 3
The graph of y = [x 2] is the graph of y = [x] moved to the right by 2 units.
Consider y = [x] 3.
If we plug in 3.6 for x then y = [3.6] 3 = 3 3 = 0
If we plug in 3.98 for x then we get y = [3.98] 3 = 3 3 = 0
If we plug in 3 for x then we get y = [3] 3 = 3 3 = 0
Let's plug in a couple of negative numbers.
If we plug in 0.7 for x then y = [0.7] 3 = 1 3 = 4
If we plug in 1 for x then y = [1] 3 = 1 3 = 4
The graph of y = [x] 3 is the graph of y = [x] moved down by 3 units.
For Your Practice
Find:
(1) [5.06]
(2) [0.99.........]
(3) [ 4.99999]
I'm Chandrajeet, an in-house writer for iCoachMath, the providing of All Free Solved Exampled for Math from K 12. In All USA State Curriculum and also cover all Mathematics Curriculum topics & lessons. I am a regular reader and writer of Education articles.
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