Please let me know if these are True or False. Thank you.

1. If (x) < 0 when x < c then (x) is decreasing when x < c.

2. The function (x) = x³ - 3x + 2 is increasing on the interval -1 < x < 1.

3. If '(c) < 0, then (x) is decreasing and the graph of (x) is concave down when x = c.

4. A local extreme point of a polynomial function (x) can only occur when (x) = 0.

5. If (x) > 0 when x < c and (x) < 0 when x > c, then (x) has a maximum value when x = c.

6. If (x) has a minimum value at x = c, then the graph of (x) has a point of inflection at x = c.

7. If (c) > 0 and (c) > 0, then (x) is increasing and the graph is concave up when x = c.

8. If (c) = 0 then (x) must have a local extreme point at x = c.

9. The graph of (x) has an inflection point at x = c so (x) has a maximum or minimum value at x = c.

10. (x) is increasing when x < c and decreasing when x > c so the graph of (x) has an inflection point at x = c.