+753 1. Let f(n)={n2−2 if n<0,2n−20 if n≥0.What is the positive difference between the two values of a that satisfy the equation f(-2)+f(2)+f(a)=0?
2. Let f(x)=⌈1x+2⌉ for x > -2, and f(x)=⌊1x+2⌋ for x < -2. (f(x) is not defined at x = -2.) Which integer is not in the range of f(x)?
+130475
0 will not be in the range of either fiunction
The first one is a ceiling function....this means that it returns the least integer that is ≥ to f(x)
When -2 < x < -1 the range is [2, infinity )
When x ≥ -1 the range is 1
The second is a floor function....this means that it returns the greatest integer ≤ to f(x)
When -3 < x < -2 the range is ( -infinity, -2 ]
When x ≤ -3 the range is -1
So...... the integer 0 is not in the range
