using Plots
using LaTeXStrings

function func_f(x)
    @assert -2 <= x <= 2 "Input not in the domain of definition."

    if x < 0
        return -x^2
    elseif 0 ≤ x ≤ 1
        return x
    else
        return x^2 + 1
    end
end

function plot_f()
    #Initialization
    x = -2:0.1:2
    #Processing
    y = func_f.(x)
    #Postprocessing
    p = plot(x,y,label=nothing)
    scatter!(x,y,label=nothing)
    xlabel!(L"-2 \leq x \leq 2") #LaTeXStrings is needed here, notice the L before the string.
    ylabel!("f(x)")
    return p
end

plot_f()

"""
This is how we want your submissions for the exams to be written, here plot_f provides a function that does everything immediately for the user, which takes care of Initialization, Processing and Postprocessing.
"""