Consider f(x) = (x + c cx² +5 for x < 3, for x ≥ 3 For what value of the constant c is f continuous for all real numbers?

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Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

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Q: 3) Find domain of the following functions x+4 a) f (x) = x²+2x-8

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Q: Find the constants a and b such that the function is continuous on the entire real line x 3 a = b =

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Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

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Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: (x² + 1 if x -1

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Q: уто ņx=-5 O SONGS & + 10 9 7 6 5 4 012345 -10-9-8-7 -6 -5 -4 -3 -2 -10 -2 -4 1) lim f(x) = x-(-4)…

A: Sol:- We have to explain what is telling by limits and the points for which f(x) is not…

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x