Consider the function f(x) = Answer the following questions about f(z) T2 + 4 a. Find the critical value(s). b. On what open interval(s) is f(x) increasing? c. On what open intervals(s) is f(x) decreasing? d. Find the smaller inflection point. e. Find the larger inflection point. f. On what open interval(s) is f(x) concave up? g. On what open interval(s) is f(x) concave down?

Q: Find the absolute extremum (if any) for the function

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Q: Use the table below to answer the question that follows: f(x) -3 -1 -15 3 7 -11 4 f(x) is continuous…

A: we can easily see from the table that the value of x=-1 does not lie in the interval [2,9]. hence…

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Q: Consider the function f(x) = 9(x – 2)²7°. For this function there are two important intervals: (- 0,…

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Q: For what value of x does the function g(x) = (x² – 4)? attain the absolute maximum in the interval…

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Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

Q: Determine the absolute minimum value of the function f(x) = x³ – 6x – 1 where xe [-2,3] %3D

A: Explanation of the answer is as follows

Q: III. Verify if the function is continous at the point. 1. f(x) = x³ – 2x² + x – 5 at x = 0

A: f(x) is continuous at x=0 if- limx→0-f(x)=limx→0+f(x)=f(0)