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CalculusQ&A Library5. The following is a graph of a function f(x)a. Give the domain of f(x) ininterval notation.b. State those values of r in the-3-12domain of f(x) where f(x)is notdifferentiable.ef(a)dar.c. Determine-33) (-)-3d. Suppose F'(x) = f(x). Give the interval(s) on which F(x) is concave up.e. Is f(x) continuous at x-3? Explain your answer.81dx by calculating the Riemann sum with 3 rectangles and using the right endpoints.6. ApproximateC)Question

Asked Nov 27, 2019

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d and e please

Step 1

**(d) It is given that F '(x) = f(x). Both F(x) and f(x) are different functions.**

**Value of F '(x) is known from the graph so, find out the interval where F '(x) is positive and negative. **

Step 2

Now, create the table for different intervals for F(x) and F '(x).

Step 3

Then, as per the table F(x) is increasing in x ? (-∞, 1.5) and decreasing in x ? (1.5, 3).

Therefore, x = 1.5 is the point of maximum and concavity is downward.

**Again, F(x) is decreasing in x ****?**** (1.5, 3) and...**

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