def METHOD_NAME() -> None:
    tol = 1e-5
    x_coord = [0.1, 0.5, 0.9]
    y_coord = [
        np.array([0.1, 0.5, 1]),
        np.array([1.0, 2.0, 3.0]),
        np.array([0.25, 0.5, 0.9]),
    ]
    x = 0.01
    beta_inv = np.array([0.55920144, 0.9320024, 1.24266987])
    exact = beta_inv * np.log(x / x_coord[1]) + y_coord[1]
    exp_tail_approximation = ExponentialTailApproximation(x_coord, y_coord)
    assert np.all(np.abs(exact - exp_tail_approximation.left(x)) <= tol)