Example 1
Determine if the function is (a) bounded above or (b) bounded below.
- y = cos x
Example 2
Determine if the function is (a) bounded above or (b) bounded below.
- f(x) = 5
Example 3
Determine if the function is (a) bounded above (b) bounded below.
- f(x) = x2
Example 4
Determine if the function is (a) bounded above or (b) bounded below.
- y = x
Example 5
Determine if the function is (a) bounded above or (b) bounded below.
Example 6
Determine if the function is (a) bounded above or (b) bounded below.
Example 7
Is the function is (a) bounded above or (b) bounded below?
Example 8
Is the following function (a) bounded above or (b) bounded below?
Example 9
Is the following function (a) bounded above or (b) bounded below?
Example 10
Is the following statement true or false?
- If a function is bounded above it must also be bounded below.
Example 11
Is the following statement true or false?
- If a function f(x) has an upper bound of M there must be some value of x for which f(x) = M.
is bounded above by y = 0, but there is no value of x for which
Example 12
Is the following statement true or false?
- If there is some K such that f(x) ≥ K for all x, then the function f(x) is bounded below.
