Given:
A. f(x) = ⌈x⌉; x = −7.4
B. g(x) = ceiling (x, 0.50); x = 21.27
To find:
The values of ceiling function for the given value.
Solution:
A.
We have,
f(x) = ⌈x⌉; x = −7.4
Here, f(x) is a ceiling function, so we need to find the nearest next integer value because if m < x ≤ n, then ⌈x⌉ = n, where m and n are integers.
Now,
f(-7.4) = ⌈-7.4⌉
f(-7.4) = -7
Therefore, the value of f(x) is -7 at x=-7.4.
B.
g(x) = ceiling (x, 0.50); x = 21.27
Here, g(x) is a ceiling function with 0.50, so we need to find the nearest next multiple of 0.50 because if m < x ≤ n, then ⌈x⌉ = n, where, m and n are multiples of 0.50.
Now,
g(21.27) = ceiling (21.27, 0.50)
g(21.27) = 21.50
Therefore, the value of g(x) is 21.50 at x=21.27.
