Funny Functions - SQR and INT !
The Problem :
the square root of x, so that
SQR(1.44) = 1.2, for example.
the integer part of x, so that
INT(5.73) = 5.
of the following are always true, which are sometimes true, and which are never
true? Give a proof of your
assertions if you can, or some examples if not.
+ 4) = SQR(x) + 4
+ 4) = INT(x) + 4
+ 7.5) = INT(x) + 7.5
(iv) SQR(xy) = SQR(x)
(v) INT(xy) = INT(x)
2. Draw the
graph of y = INT(3x) – 3 × INT(x)
for values of x from 0 to 6.
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