. Let f(x) = x4 − 3x2 + 2. Find the intervals where f(x) is increasing, decreasing, concave up and concave down.Write your answers using interval notation.

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at…

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Q: Given the function h (x) = -v2 – x, what is h (x)?

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Q: Find the values of x for which the function is continuous. - 7 f (x) = 2 + 84

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Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

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Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x&lt;-1f(x)= 4a…

Q: For what value of x is the function f(x)=4/ x2-x-12 not continuous

A: Topic-continuity

Q: On what interval is this function negative? f (x) = (x – 4) –1

A: We have to find

Q: For 0 ≤ x ≤ 2π, find one value of x such that f(x) is the largest ; f(x)= 2Cos (2x)

A: To determine the value of x such that f(x) is largest.

Q: Ex 2. Find the intervals of concavity for f(x)=x – 2.x³. 3

A: Given f(x)=x4-2x3 Differentiating with respect to x, f'(x)=4x3-6x2 Differentiating again with…

Q: Find the domain and sketch the graph of the function.

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Q: For what value of the constant c is the function continuous on all real number? f(x)={c°x² -4cx…

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Q: -pose f(x) = (x² – 9)2/3. Find the intervals rvals on which it is decreasing.

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Q: Find the open intervals on which the function is increasing or decreasing.

A: Given: f(x)=(x-1)2(2x-5)

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: -1 Find f (x) for f (x) = 13 + 14x. Enter the exact answer.

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Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: Find constants a and b, such that the function following function is continuous for -3 <x <0. -x +1,…

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Q: On what interval is the following function positive. f (x) = -x² – 2x + 8

A: A function f(x) is said to be positive when the y values i.e. the values of f(x) are greater than 0.…

Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the…

A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in…

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

Q: Find the value of the constant bl that makes the following function continuous on (-00, 00). if x 6…

A: The given function is fx=2x-6if x≤6-3x+bif x&gt;6. it is given that, the given function is…

Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

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Q: Suppose that f(x) is a differentiable function and g(x)=(x+2)/f(x). If f(1)= 5 and f'(1)=10, then…

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Q: Suppose ƒ is an odd function,Evaluate function

A: Given:∫04 fx dx=3,∫08 fx dx=9∫-84 fx dx=?Odd function:∫-aa fx dx=∫-a0fx dx +∫0afx dx=-∫0afx dx +∫0a…

Q: Find the domain of the function in interval notation: f(x) = 1 I+3

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Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,…

A: Answer: The solution is as given below:

Q: Find the domain of the following function. f(x) = V3x – 45 (Зх — Give your answer in interval…

A: Given : fx = 3x-45

Q: Ex 5. Find the intervals of increase or decrease for f(x) = (x– 2) Vx² .

A: We have to find the interval where derivative of f is positive and negative

Q: en the function f(x)= – (x+4)3, which of the following statement talks about its relative and…

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Q: f (x) = 12x-1, [3,6]

A: We need to find the extreme values of  f(x)=|2x-1| in the interval [3,6]

Q: Determine the intervals upon which the given function is increasing or decreasing. f(x) = 3r + 12x?

A: The given function fx=3x3+12x2 differentiate with respect to x f'x=9x2+24x       =3x3x+8

Q: For f(x) = 4x3+ x4/3. determine the intervals where the function is %3D increasing

A:

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…

Q: 2. Determine if the following function is differentiable. x² +10, x <4 f(x) = 8x-6, x24 wwww

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Q: For what values of x is the function f(x) = x* - 2x? strictly increasing?

A: fx=x4-2x2 Differentiating with respect to x, we get f'x=4x3-22x=4x3-4x

Q: Given g(x)=√x+6, 0 (-00, -6) O(-00, 6) Ⓒ (-6,00) O (6,00) on what interval is the function negative?

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Q: For what value of x does the function f(x) 4x attain the point of inflection in the interval [-5,3]?…

A: A point of inflection is found where the graph (or image) of a function changes concavity. To find…

Q: which of the following intervals the function f(x) = x² + 3x – 4 is increasing?

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Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: For the function f(x)=3x", evaluale : f(Xth)=

A: F(x) = 3x2 , put x = x+h                                                            F(x+h) =3(x+h)2…

Q: Consider the function f(x)=x^3+4x^2−25x−50. If there is a remainder of 50 when the function is…

A: We have to find the value of a

Q: In the power function f(x) = -4x°, what is the end behavior of f(x) as x goes to -o? (You can enter…

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Q: Answer the following ques 2 f(x) = x/x² + 4 defined on the interval

A: given :

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

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Q: Determine the intervals on which the given function is positive or negative. x(1+x) f(x) = (4 – x²)

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Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.