Bounded from Above

A function is bounded above if there is a real number, k, such that for all of x, f(x) ≤ k.

The number k is called the upper bound.

 k = 0.135

Bounded from Below

A function is bounded below if there is a real number, k', such that for all of x, f(x) ≥ k′.

The number k' is called the lower bound.

k′ = 2

Bounded Function

k′ ≤ f(x) ≤ k

 k = ½        k′ = -½

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.