Chapter 4 tch the graph. Each part Use the function below on the interval specified to answer the following questions and ske counts equally. f(x)= ex sin(x), [-π, π] a. Find any x- and y-intercepts for the specified interval. Show work. b. Find any horizontal and vertical asymptotes. Show work. c Give the intervals in interval notation where the function is increasing and where it is decreasing for the specified interval. Show your work. You may show your work in the same format that I used in class for full credit. for full Find coordinates of all local and absolute extrema in the specified interval (label clearly). For local extrema, use the 1* derivative test (you may show answers for local extrema in part c) above). d. e. Verify the local extrema in part d) above using the 2"° derivative test. You may show your work in the same format that I used in class for full credit Find the intervals where the function is concave up and concave down (in interval notation) for the specified. You may show your work in the same format that I used in class for full credit. f. he coordinates of any inflection points. You may show answer in work for part f) above. Chapter using the information from parts a) to g) above, sketch the curve. Please use your graphine nfirm/verify your final sketch. No credit will be given for plotting multiple pnt ugts, maxima, and 4 h is a sketch only. Please make the scale large enough to easily label inflection pointis) graphing calculator to (ie. algebra level work) this intercepts, maxima, and minima Find f(x) given the following. Show your work. f()72x +12, f"(0)-8, f(0) 2, f(0) -3 4. Chapter 4 tch the graph. Each part Use the function below on the interval specified to answer the following questions and ske counts equally. f(x)= ex sin(x), [-π, π] a. Find any x- and y-intercepts for the specified interval. Show work. b. Find any horizontal and vertical asymptotes. Show work. c Give the intervals in interval notation where the function is increasing and where it is decreasing for the specified interval. Show your work. You may show your work in the same format that I used in class for full credit. for full Find coordinates of all local and absolute extrema in the specified interval (label clearly). For local extrema, use the 1* derivative test (you may show answers for local extrema in part c) above). d. e. Verify the local extrema in part d) above using the 2"° derivative test. You may show your work in the same format that I used in class for full credit Find the intervals where the function is concave up and concave down (in interval notation) for the specified. You may show your work in the same format that I used in class for full credit. f. he coordinates of any inflection points. You may show answer in work for part f) above. Chapter using the information from parts a) to g) above, sketch the curve. Please use your graphine nfirm/verify your final sketch. No credit will be given for plotting multiple pnt ugts, maxima, and 4 h is a sketch only. Please make the scale large enough to easily label inflection pointis) graphing calculator to (ie. algebra level work) this intercepts, maxima, and minima Find f(x) given the following. Show your work. f()72x +12, f"(0)-8, f(0) 2, f(0) -3 4.