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Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant.
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- The table give the value of continuous function f at each x-value. Using the intermediate value theorem and the information in the table, determine the smallest interval in which the function must have a root. In interval notation.Identify intervals of increasing and decreasing. Use interval notation.Determine whether Mean Value Theorem can be applied to f on the indicated interval. In each case, find all the the values of c in the interval (a, b) that satisfies the MVT. (Show work and step-by-step process in finding the correct answers.) #8 only!!
- The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits in Exercises 23–36.determine: 1.domain 2.range 3.intervals of increase (use x-values & interval notation) 4.intervals of decrease (use x-values & interval notation) 5. intervals of concave up & down 6. Points of inflectionFind the absolute maximum and absolute minimum values of f on the given interval f(x) = x √4- x2 [-1,2] (the 4- x2 is all under the √ symbol) *please use handwriting not typing, I understand it better that way*
- Determine whether the Mean Value Theorem applies to the function f(x)=x3-2x2-4x+1 on an interval [-2,2], giving reasons for your answer (i.e. discuss how the function does or does not satisfy the hypotheses of the Mean Value Theorem). If the theorem applies, find all of the points, guaranteed to exist by the Mean Value Theorem.Use transformation, showing all work. Use interval notation. Problem attachedlim x-->-1, lim x-->-1+, lim x-->-1-,