For real numbers a, b, c, d, e, f, consider the function F: ℝ2 → ℝ2 given by
F(x, y) = (ax + by + c, dx + ey + f), for x, y ∈ ℝ.
Which of the following statements are true?
1
F is continuous.
2
F is uniformly continuous.
3
F is differentiable.
4
F has partial derivatives of all orders.