Consider the function on the interval (0, 2x). f(x) = 2x + 4 sin(x) (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (0, 2) (4) ✔ (4,2x) Onone of these 0 Decreasing: 0 (0, ²) □ (²4) (4,2x) Onone of these (b) Apply the First Derivative Test to identify all relative extrema. 2x 35 relative maximum (x, y) = ( relative minimum (x, y) = ( 9x ,7.65 ,9.91 X (c) Use a graphing utility to confirm your results.

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