Funny Functions  SQR and INT ! The Problem : SQR(x) represents
the square root of x, so that
SQR(1.44) = 1.2, for example. INT(x) represents
the integer part of x, so that
INT(5.73) = 5. 1. Which
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.
(i) SQR(x
+ 4) = SQR(x) + 4
(ii) INT(x
+ 4) = INT(x) + 4
(iii) INT(x
+ 7.5) = INT(x) + 7.5 (iv) SQR(xy) = SQR(x)
× SQR(y) (v) INT(xy) = INT(x)
× INT(y) 2. Draw the
graph of y = INT(3x) – 3 × INT(x)
for values of x from 0 to 6.
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