Question

Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)Function Intervaly = 2(csc x + sec x) 0 < x < 2

Answer 1

we have the function

`y=2(\csc x+\sec x)`

Interval -----> (0, pi/2)

Using a graphing tool

see the attached figure below

Part 1

Intercepts ---------> DNE

Part 2

Relative minimum --------> (pi/4,5.657)

Part 3

Relative maximum -------> DNE

Part 4

point of inflection ------> DNE

Part 5

equation of asymptotes

Vertical asymptotes at

x=0 and x=pi/2