Draw a graph of a function that satisfies all of the following conditions a) The domain of f is all real numbers b) f is continuous but not differentiable at x = -5 and x = 3
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Sketch the graph of a single function that has all of the properties listed. a. Continuous and differentiable for all real numbers b. f'(x) > 0 on (-∞, -5) and (0,3) c. f'(x) < 0 on (-5,0) and (3,∞) d. f''(x) < 0 on (-∞, -2) and (1,∞) e. f''(x) > 0 on (-2,1) f. f'(-5) = f'(3) = 0 g. f''(x) = 0 at (-2,3) and (1,4) Choose the correct graph below.
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Sketch (freehand) a graph of a function ƒ with domain all real numbers that satisfies all of the following conditions: (a) $f$ is continuous for all $x ;$ (b) $f$ is increasing on $(-\infty, 0]$ and on $[3,5]$ ; (c) $f$ is decreasing on $[0,3]$ and on $[5, \infty)$ ; (d) $f(0)=f(5)=2$ (e) $f(3)=0$
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Sketch a possible graph of a function f that is continuous for all real numbers and satisfies the given conditions. Find the $x$ intercepts off. $$ f(x)<0 \text { on }(-\infty,-5) \text { and }(2, \infty) ; f(x)>0 \text { on }(-5,2) $$
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