Answer: 
<u>Step-by-step explanation:</u>

NOTE: Neither the Trapezoidal Rule or Reimann Sums can be used without the number of rectangles (n) you are separating the interval into. Besides, they only provide an estimate. If you want the EXACT area, you must use integration.
Answer:
g(x) = |x-7|+4
Step-by-step explanation:
If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.
The vertex is at points (7,4)
4=|7-7|+4 : 4=4.
The x values move right 3, so (x+3).
The y values move down 5, so (y-5)
That depends if the line is vertical or horizontal. If the line is vertical, the slope (steepness) of the line is undefined (this is because the x values across the entire line are the same). If the line is horizontal, the slope of the line is 0 (this is because the y values will always subtract to equal 0 when you use the form y1 - y2/x1 - x2 to find slope).
Hope this helps.