1. Consider functions f, g: R → R that are continuous at every point in their domain. A. Sketch a graph of function f given that it has the following properties: - f(0) = 1; - f(2)= -1; - f'(0) = f'(2) = 0; f is increasing on the interval (-∞, 0] U [2, ∞0); f is decreasing on the interval [0, 2]; - f is concave down on the interval (-∞, 1]; f is concave up on the interval [1, ∞); f has an inflection point that lies on the horizontal axis. -

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A: Explanation of the answer is as follows

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Q: у ि 0 2 y = f'(x) 4 6 x

A: Solution

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Q: Suppose f is a function with f(2)=5 where for all interval > 0, there is some δ > 0 such that if x…

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Q: Consider the graph below. 4) (1, 4) -1,52) (3.-4) (-4, 5) Determine if f is continuous at x = c. (a)…

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