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   "source": [
    "# Task 05\n",
    "\n",
    "**deadline: 28/03/2021 23:59 CET**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**[0.5 points]:** Approximate the function \n",
    "\n",
    "$$\n",
    "f(x) =\n",
    "\\begin{cases}\n",
    "-1 & \\text{if $ x \\leq 5 $} \\\\\n",
    "1 & \\text{if $ x > 5 $}\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "in the $ [0, 10] $ interval with the Lagrange interpolating polynomial using the roots of the $ 10 $-th degree Chebyshev polynomial (you may use the [`scipy.interpolate.lagrange`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.lagrange.html) and [`scipy.special.roots_chebyt`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.roots_chebyt.html) functions). Print the interpolating polynomial. \n",
    "\n",
    "**[0.5 points]:** Plot the function $ f(x) $, the interpolating polynomial, and the absolute error of the approximation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# add your code here\n"
   ]
  }
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