Search the Interval for Minimum and Maximum of the Function in R Programming – optimize() Function

optimize() or optimise() function in R Language is used to search the interval from lower to upper for a minimum or maximum of the function f with respect to its first argument.

Syntax: optimize(f, interval, maximum)

Parameters:
f: the function to be optimized. The function is either minimized or maximized over its first argument depending on the value of maximum.

interval: a vector containing the end-points of the interval to be searched for the minimum.

maximum: the logical value says to maximize or minimize. Its default value is minimize.



Example 1:

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# R program to illustrate
# optimize function
  
# Specifing a funtion
f <- function(x) {5 * x ^ 2 - 12 * x + 17}
  
# Calling the optimize() function
# over the interval of -5 to 5, to
# minimize the value
optimize(f, interval = c(-5, 5))

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Output:

$minimum
[1] 1.2

$objective
[1] 9.8

Example 2:

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# R program to illustrate
# optimize function
  
# Specifing a funtion
f <- function(x) {5 * x ^ 2 - 12 * x + 17}
  
# Calling the optimize() function
# over the interval of -5 to 5, to
# maximize the value
optimize(f, interval = c(-5, 5), maximum = T)

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Output:

$maximum
[1] -4.999944

$objective
[1] 201.9965
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