Continuous function in R Programming

Question

I'm trying to code the following continuous function in R Programming.

This is an image of my f(x)

I was trying to create a function called fun1 that takes a single argument vecA. I want the function to return the values of f(x) evaluated at the values of vecA.

fun1(vecA) <- function(x){
   x^2+2x+3
 }

I don't know how I can continue it.

Allan Cameron · Accepted Answer · 2022-09-25 19:45:34Z

3

Ideally your function should be able to take vectorized input, in which case you should use ifelse or case_when.

For example:

f <- function(x) {
  ifelse(x < 0, x^2 + 2*x + 3,
         ifelse(x >= 2, x^2 + 4 * x - 7,
                x + 3))
}

Or

f <- function(x) {
  dplyr::case_when(x < 0 ~ x^2 + 2*x + 3,
                   x > 2 ~ x^2 + 4 * x - 7,
                   TRUE  ~ x + 3)
}

both of which produce the same output. We can see what the function looks like by doing:

plot(f, xlim = c(-5, 5))

^{Created on 2022-09-25 with reprex v2.0.2}

edited Sep 25, 2022 at 19:45

answered Sep 25, 2022 at 19:35

Allan Cameron

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Comments

s_baldur · Accepted Answer · 2022-09-25 19:31:30Z

2

Try studying the patterns here:

fun1 <- function(x){
   if (x < 0) {
     x^2+2*x+3
   } else if (x < 2) {
     x + 3
   } else {
     # Your turn
   }
}

answered Sep 25, 2022 at 19:31

s_baldur

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