Question

Answer true or false (a) a unimodal function cannot be discontinuous. (b) all elimination methods assume the function to be unimodal.

Answer 1

I think .......

a. true

b. false

Answer 2

Answer:

Option (a) is true and option (b) is false.

Step-by-step explanation:

Unimodal function:

• If a function f(x) is monotonically growing for xm and monotonically reducing for xm for some value m, the function is said to be unimodal. There is only one local maximum for the function f(x) and that is f(m).
• The value of x for which the function is maximised must be determined for a function f(x) in the interval [a, b]. The function absolutely increases between [a, x] and [x, b], and strictly decreases between those two intervals. To do this, we can employ modified binary search to ascertain the function's maximum or value.
• Any extreme we discover in a unimodal function is certain to be the global extreme. Any extreme we discover in a unimodal function is certain to be the global extreme.