Question

1. Consider the function y - f(x) defined by Supposing that you are given x, write an R expression for y using if state- ments. Add your , then run it to plot the function jf # input x.values <- seq(-2, 2, by - 0.1) expression for y to the following program # for each x calculate y n <- length(x.values) y.values <- rep(0, n) for (i in 1:n) t x <- x.values [i] # your expression for y goes here y.values[i] <- y # output plot(x,values, y.values, type "1") =

Answer 1

The complete required code:

# input
x.values <- seq(-2, 2, by = 0.1)

# for each x calculate y
n <- length(x.values)
y.values <- rep(0,n)
for(i in 1:n){
   x <-x.values[i]
   if(x <= 0){
       y <- -(x^3)
   }
   if( x > 0 && x <=1){
       y <- x^2
   }
   if(x >1){
       y <- sqrt(x)
   }
   y.values[i] <-y
}

# output
plot(x.values, y.values, type="l")