f(x)=: x-X Show that f is continuous on R- {0} (x # 0)

Q: Describe the interval(s) on which the function is continuous. f(x) = sec 7EX 8 ..., (-16, -8), (-8,…

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Q: In which interval, function f(x)=x3e-x is increasing and concave up? (0, 3(sqrt3)) (3-sqrt3, 3) (3,…

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Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

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Q: Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that…

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Q: Sketch the grTaph of a function f that satisfies all of the given conditions (@) /(-1) = 4, f(1) =…

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Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: a)_f(x)= x+3 x²+3x x²-3x b) f(x)== c) f(x) = |x³ − 1| -

A: Differentiability

Q: Determine f,(x); f(x) = x2*, x > o

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Q: f(x)= -2x+3 if x>-1 it メニー」 3+ ax2 if xc-1 if xa-I Is the fanciono continuous at x>-1?

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Q: 2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ +…

A: We need to find f(x), g(x) and h(x) from F(x).