The function h is shown in the graph above. The function k is given by the formula above. Answer the
following questions about these two functions.
(a)
12 pts
Find the absolute minimum values of both h and k on the interval -4≤x≤5.
h:
k :
(b) Find the average rate of change of h on the interval -4≤x≤5.
/ 2 pts
(c) There is one point on the interval -1 the value found in part (b). To the nearest 0.1, estimate the value of x at this point.
/ 2 pts
(d)
/ 4 pts
Determine the interval(s) on which k(x) is decreasing. Justify your answer in terms of input and
output values.
(e) The graph of k is concave down when x <0. Briefly explain why this is true in terms of the rate of
change of k.
/2 pts
(f)
13 pts
Write limit expressions that desribe the end behavior of both ends of k.