Question 3 In(x²) + 4 2 Consider the continuous function h with h'(x) 3.1 Find and represent the domain of the function, using set notation. 3.2 Use a number line and the first derivative test to identify the local extreme(s) of the function h by giving the exact x-value(s) of the local extreme(s).

Q: [6] Use the algebraic test to determine if these functions are odd, even, or neither. [Odd: f(-x) =…

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Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

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Q: 12 A function is defined by f(x)=2-- for -7≤x≤7, x=-5. x + 5 (a) Find the range of f. (b) Find the…

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Q: 8) (a) State the Mean Value Theorem. (b) Iff is a continuous and differentiable function on the…

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Q: If f is one-to-one and f( – 3) = 12, then f-'(12) and (f( – 3))¯

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Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: F(x) = x 1 + 3x2 - — 16х — 20 y 100 50 X - 10 -5 -50! (a) From the graph, estimate where f"(x) > 0.…

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Q: b) The difference of two real-valued functions f and is defined by f – g := f + const_1 · g. That…

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Q: t) For each of the following functions, state whether they are one-to-one or not. (You must enter T…

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Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

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Q: 31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x 4, f"(x) > 0 if 1 3

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Q: Let f(x)=x²-9x +4. Find f( − 1). f(-1)=

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Q: Example: Give an example of a function and a value a so that f"(a) = and (a, f (a)) is not an…

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