1. Draw the graph of a function f(x) that is continuous on the domain [-3,9] and clearly satisfies all of the following. On your graph, label all points of inflection. (a) f(0) = 0 (b) f is decreasing and concave up for -3≤x≤0 (c) f is decreasing and concave down for 0

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Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x<-2a+b if…

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Q: 10) Use the graph of f to determine if f is continuous at x = -3. -5 -4 -3 -2 -1 A) no 2- -1+ -2+ 2…

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Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: 6. Make a clear, well-labeled graph of the piecewise-defined function below. (-x-10 if x 10 if f(x)…

A: We want to plot the graph.

Q: (c) Find the constants a and b so that the function f (x) is continuous everywhere. Also graph the…

A: Solution:Given  f(x)=x+aif -∞<x<4(x-1)2if 4≤x≤9Bx+1if 9<x<∞To find 'a' and 'b'Also graph…

Q: ii) f(x) = x*-1 %3D x²-1

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Q: Suppose that f(x) is a continuous function with f(4) = -8 and f(8) = 8. Determine which choice best…

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Q: 12. Which graph corresponds to the function given? ros- x²-2, x22 x = -3 (-2, -2<x <1 f(x) =}2, w -…

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Q: 11. Find graph of f¯*(x) given the graph of f(x) -5- -5 10 -5 -10 5.

A: We need to find the graph of f-1(x) given the graph of f(x)