2. The function k is defined on the closed interval (-4, 3). The graph of k consists of two line segments and semicircle, as shown above. Let h be the function defined by h(x) =
I
*) =
k(t) dt.
(a) Find the value of x in the closed interval (-4,1) at which h attains its maximum value. Justify.
3. Consider the curve given by the equation 2(x + y) = 5 sin y. For all points on the curve in the interval
dy 1
-7 dx

Ithink is b. or c.

Ais correct according to edgenuity

Horizontal asymptote at  tells us that the original graph has been translated down.since  ,  are positive.  also we can say that the point  has a smaller  -coordinate than  .this means that the  transformed exponential function is increasing as it goes to the right. as it goes from  to , the value of the exponential function increases. it goes from to something bigger, . therefore, as  . the left hand would be the side that approaches the horizontal asymptote.so the answer is d