Let me start you off:

(d) As x increases from -3 to 1, there is more and more area under the curve. but we're integrating backwards, so the integral is becoming less ans less negative, so g is increasing from -3 to 1.

As x increases from 1 to 3, the net area decreases (area below the x-axis is negative when integrating), so g is decreasing from 1 to 3.

As x increases from 3 to 4, the net area increases, so g is increasing from 3 to 4.

So g has a relative maximum at x=1.

(e) To write the equation of a line you need a point and a slope .

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