Find the maximum and minimum values, if any, of the following functions given by

Question

Find the maximum and minimum values, if any, of the following functions given by h(x) = x + 1, x ∈ ( – 1, 1)

Philoid · Accepted Answer

It is given that h(x) = x + 1, x ∈ (–1, 1)

Now, if a point x₀ is closest to -1, then,

We find for all x₀∈ (–1, 1)

Also, if a point x₁ is closest to 1, then,

We find for all x₁∈ (–1, 1)

Therefore, the function h (x) has neither maximum nor minimum value in (-1, 1).