Hi I need help answering question 6, 19, and 31 only thank you. 1. In your own words describe what it means for a function tobe increasing.22. What does a decreasing function "look like"?-23. Sketch a graph of a function on [0, 2] that is increasing butnot strictly increasing.-24. Give an example of a function describing a situation whereit is "bad" to be increasing and "good" to be decreasing.-49. Given the graph of f', identify the intervals of increasingand decreasing as well as the x coordinates of the relative5. A function f has derivative f' (x) = (sin x+ 2)e* +1, wheref'(x) > 1 for all x. Is f increasing, decreasing, or can wenot tell from the given information?extrema.Problems6. Given the graph of f, identify the intervals of increasing anddecreasing as well as the x coordinates of the relative ex-trema.In Exercises 10–17, a function f(x) is given.y(a) Compute f'(x).20(b) Graph f and f' on the same axes (using technology ispermitted) and verify Theorem 26.10. f(x) = 2x + 311. f(x) — х — 3х + 512. f(x) = cos X13. f(x) = tan x14. f(x) — х —5x + 7х— 1- 2015. f(x) = 2x – x + x – 116. f(x) — х — 5x? + 47. Given the graph of f, identify the intervals of increasing anddecreasing as well as the x coordinates of the relative ex-117. f(x) =x2 + 1trema.yIn Exercises 18–38, a function f(x) is given.(a) Give the domain of f.2(b) Find the critical numbers of f.(c) Create a number line to determine the intervals onwhich f is increasing and decreasing.1(d) Use the First Derivative Test to determine whether eachcritical point is a relative maximum, minimum, or nei-ther.2718. f(x) = x + 2x – 316719. f(x) = x + 3x² + 320. f(x) = 2x +x – x+ 331. f(x) = (x² – 1)³32. f(x) = x'/³ (x + 4)21. f(x) — х — 3x2 + 3х— 133. f(0) = 2 cos 0 + cos? 0 on [o, 27]122. f(x) =34. f(x) = 2/x – 4x²x² – 2x + 2x2 - 435. f(x) = 5x?/3 – 2x/323. f(x) =36. f(x) = x* – 4x² + 337. f(x) = sin³ x on [0, 27]x2 – 124. f(x)x²2х— 838. f(x) 3 (х + 1)5 — 5х — 2(x – 2)2/325. f(x) =26. f(x) = sin x cos x on (-T, T).Review27. f(x) = x° – 5x39. Consider f(x) = x² – 3x + 5 on [–1, 2]; findc guaranteedby the Mean Value Theorem.28. f(x) = x – 2 sin x on 0 < x < 3T29. f(x) = cos² x – 2 sin x on 0 < x< 2730. f(х) — х/x - 340. Consider f(x) = sinx on [-T/2, 7/2]; find c guaranteedby the Mean Value Theorem.

Name: Hi I need help answering question 6, 19, and 31 only thank you. 1. In
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Description: Hi I need help answering question 6, 19, and 31 only thank you. 1. In your own words describe what it means for a function tobe increasing.22. What does a decreasing function "look like"?-23. Sketch a graph of a function on [0, 2] that is increasing