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- DISCUSS Four Ways to Represent a FunctionIn the box onpage 190 we represented four different functions verbally,algebraically, visually,and numerically.Think of a function that can be represented in all four ways, and give the four representations.calculus help Find and classify the local maximum and minimum values of g(x) = e(x^3/12)-x using the Second Derivative Test. must show all stepsUsing algebra and calculus to analyze the function, Algebra: how can I find all the intercepts, as well as the vertical horizontal and slant asymptotes. Calculus: find where the function is increasing/ decreasing and find points where relative exterma occurs, test for concavity, and find all points of inflection. f(x)=(3x-1)/(x-2)
- Using types of functions, prove that f(x) = x2+1, h(x) = 2x +1 and g(x) = x2+ x are equal functions. Identify the possible domain and range of all functions. Explain with the help of diagrams.Curve sketching Use the graphing techniques of graph the following functions on their domains. Identify local extreme points, inflection points, concavity, and end behavior. Use a graphing utility only to check your work. ƒ(x) = ex(x2 - x)Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results y = 4/x2 + 1
- Graphing absolute value Consider the function f(x) =2 (x - |x |). Express the function in two pieces without using theabsolute value. Then graph the function by hand. Use a graphingutility to check your work.Polynomial Function of Data y = 1.2889x3 - 358.53x2 + 48536x - 34188 What is the second derivative, what is the point of inflection Explain the implications of the point of inflectionVertical Line Test for Functions InExercises 11–14, use the Vertical Line Test todetermine whether the graph represents y asa function of x. To print an enlarged copy ofthe graph, go to MathGraphs.com.