Which of the following is true regarding the function y = ax + bx²+c? The function only has exactly one critical point if a and b have same signs. The function only has exactly one critical point if a and b have different signs. The function has exactly two critical points all throughout its domain for any value of a and b. The function has exactly three critical points all throughout its domain for any value of and The function has exactly one critical point all throughout its domain for any value of and

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A: We have to find value of b.

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Q: a. (fo g)(x); b. (go f)(x); c. . (fo g)(- 2);

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Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

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Q: For what value of x does the function g(x)= -1/3x3 +2x2 convex

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