We want to calculate
f(40), f(-3/2), f(-1), f(0), f(-3).
Now, since 40 is greater than 1. And for x>1, f is defined as:
f(x) = -1
Hence , f(40)= -1.
Since, -3/2 is less than -1 , and for x less than or equal to -1, f is defined as:
f(x) = x2 + 2x,
Hence f(-3/2) = (-3/2)2 + 2. (-3/2)= -3/4.
Now, for f(-1),
f(-1)= (-1)2 + 2 (-1)= -1,
f(-1)= -1.
Now, since 0 lies between -1 and 1 , and for these values, f is defined as:
f(x)= x ; -1 < x < 1 and for x=1.
Thus, f(0) = 0.
And since -3 < -1, hence
f(-3) = (-3)2 + 2. ( -3) = 9 - 6 = 3,
Hence, f(-3) = 3.
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