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)

♦ Relevant knowledge

Perpendicular coordinate systemis which is used to describe precisely points that are defined using two coordinates units (plane co-ordinate system) or three coordinate axes (spatial coordinate system) which are perpendicular to each one.

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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