9. Consider the following information about the graph of a continuous function m(x): • lim→-0 m(x) = -2 and limr→0 m(x) = 2 %3D • The table below summarizes when m' and m" are positive and negative, but with some information unknown: x < -2 | -2 < x < -1| -1< x < 0] 0< x <1]1

Q: 3. What are the different methods for examining whether a continuous function in a closed interval…

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A: Step 1: Plot the given points f(0)=2, f(1)=5, f(3)=7. Step 2: Draw the vertical asymptote, x=c…

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Q: • Domain of f is R – 0 • f(x) = 0 if x = 1. • lim,→±∞ f(x) = 0 and lim,→0+ f(x) = lim,→0- f(x) = -o∞…

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Q: 6. Is the function given by f(x) (x + 4, for x < 3 2x - 1, for x ≥ 3 Continuous at x = 3? Why or why…

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Q: Please

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Q: 10. y = f(x) y (3,0) (1,-2) (a) lim f(x) x1 (b) lim f(x) X3

A: Given: Graph of the function:

Q: 1. Discuss the function f(x) = x* – ÷x' - x² + 4x + 1 for its relative extrema, intervals where f is…

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Q: Given the function f(x) = x³+2x² (x-1)² with f'(x) = x³-3x²-4x (x-1)³ } and f'(x) = 14x+4 (x-1)4 a.…

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Q: 4. At what value(s) of x is the function x + 2 x2 for x 1 f(x) = 3- x discontinuous?

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Q: 9 Sketch a graph that has the following characteristics: • The function is odd. • The function is…

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A: the given criteria for the function f is: f0=3f'3=1limx→∞f(x)=10f'(x)&gt;0 for all x.f''(x)&gt;0…

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Q: 2. Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.