r what value of a is the function f (t) = 08 O-15 O -30 O 24 t -a, -10 < t ≤ 3 t² + 8t, 3 < t < 10 continuous?

Q: Over which interval is the function shown in the table decreasing? X -2 -1 0 1 2 O a O b O c Od f(x)…

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Q: 75. f(x) = x - 3 2 4 6.

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Q: For the function f(x) = x - 8x2 +10 find %3D a) the intervals where f is increasing, decreasing b)…

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Q: Give the range of the function f(x) = -x 2. all reals y ≤ 0 y ≥ 0

A: The given function is: f(x)=-x2

Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

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Q: If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

A: Given:  fx is continuous , f-1= 2, f2 = -1  To Prove:  fx has a root in -1,2

Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

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Q: Discuss the continuity of the function.

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Q: J (x) = x" – ¤ – Determine the intervals where f is concave upward and concave downward. Place your…

A: We will solve the problem

Q: The absolute maximum of the function f(x) = 2x? + 4x + 12 over [1, 7]. O 142 25 83 95 O 138

A: The given function :                         f(x)= 2x2 + 4x + 12                 over [1,7]. We have…

Q: x + 2y Let f(x, y) x² + 3 Evaluate f(3, 4)

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Q: S/ kx +1 O<x<1 a) Let f(x)= %3D 2x+3 13x<3 Find the value of k, given that the function f is…

A: If the function is continuous at some point , then the value of both side of function is equal .

Q: The absolute maximum of the function f(E = 2x +3z + 12 over 1, 6|. O 102 O 114 O 24 O 72 O60

A: Find absolute maximum

Q: The absolute maximum of the function f(x) = 2x? – 13x + 9 over 1, 6]. -

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Q: Let f(x) = vV72 – x and g(x) = x² – x. Give the domain of f o gusing interval notation.

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Q: 1 For what value of x does the function f(x) = 3x³ — 4x attain the absolute maximum in the interval…

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Q: Find all points of inflection of f (x) = In(1 + x²) O -1, In2), (1, In2) O (-1/sqrt(2), In(3/2)),…

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Q: Find the intervals of monotonicity of the function f(x) = 4.

A: Intervals of monotonicity means we have to finds intervals in which function is inreasing or…

Q: 76. f(x) = \x² – 9| 12 10 6+ 2 -4 -2 2 4

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Q: Sx² - 1, xs0 f(x) = l1 - x², x>0 x > 0 15 10 3. -10 -15

A: Given function is                                                           f(x)=x2-1   ;    x≤01-x2…

Q: The graph of f(x) is given by (-1,4) (1.4) Determine is ƒ is continuous at x = c. (a) x = -4 (c) r =…

A: According to question We have to determine is f is continuous at x=cAs we know that a function f is…

Q: Let f (x) = 5Vr? - 25. On what interval(s) is f increasing? If there is more than one interval,…

A: Given,            f(x) = 5x23 - 2x53

Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

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