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Use the given graph of f over the interval (0, 7) to find the following:

- (a) The open intervals on which f is increasing
- (b) The open intervals on which f is decreasing
- (c) The open intervals on which is concave upward.
- (d) The open intervals on which f is concave downward.
- (e) The coordinates of the points of inflection.

(x, y) = ___ (smallest X-value)

(x, y) = ___

(x,y) = ___ (largest x-value)

In a planar system of coordinates such as the X and -Y coordinate system, each point on the plan is uniquely identified with an X-Y two-point coordinate (X, and Y) (see Figure 2.). The distance from the Y-axis is indicated by the X coordinate, and the distance to the X-axis identified by as the Y coordinate. These coordinates could include an negative (+) or negative (+) sign.

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a, f is increasing : (0,1) ∪ (3,7)

b, f is decreasing : (1,3)

c, f concave upward : (2,4) ∪ (5,7)

d, f concave downward : (0,2) ∪ (4,5)

e, points of inflection (2,2), (4,3) and (5,4)