For what values of x is [x] = – 4? The values of x for which [x = -4 are (Type your answer in interval notation.)

Q: Suppose h is continuous on ℝ and h(q) = 0 for every rational number q. Does it follow that h(x) = 0…

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Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =    cx2 + 6x…

A: fx=cx2+6x     if x<3x3-cx       if x≥3 fx is continuous for all x<3 & x>3, because it…

Q: 5. For the given functions f(x) = , g(x) = x + 2, find and its domain in interval notation. x-8

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Given that, f(x) = 2x3 - 3x2 - 12x + 1. F (a) the intervals on which f(x) is increasing

A: Given: f(x)=2x3-3x2-12x+1

Q: For what values of b is b + 1' x? + b, x > 0 8(x) = continuous at every x?

A: Now we check the continuity at x = 0:

Q: On which of the following intervals is f(x)=x4-100x2+x -10 concave up? OA. (-inf,-5) OB. (-inf,-4) O…

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Q: For what values of a and b is -2, f(x) = { ax – b, -1 <x< 1 3, continuous at every x?

A: Given: fx=-2,    x≤-1ax-b,    -1&lt;x&lt;13,   x≥1

Q: (a) For what value of x does f(x) = g(x)? X= (b) For which values of x is f(x) > g(x)? For every x…

A: We can solve the problem by the criteria of interse

Q: For what value of c is the function defined below continuous on (-∞, )? сх + 4, x 4. x > 4. f(x) = C…

A: f(x) = cx+4    ,  x&lt;4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: What value should be assigned to c so that f(x)= the set of real numbers? x²+x-20 x-4 3c x < 4 x ≥4…

A: Given that fx=x2+x-20x-4x&lt;43cx≥4. The objective is to find the value of c.

Q: Consider the graph of f(x) below. Over what open interval is f'(x) positive? Give your answer in…

A: Given: The graph of the function f(x) is shown as: To find: The open interval where f'(x) is…

Q: For the function f(x) = x - find all values of C in the interval [1,3] that satisfy the conclusion…

A: Here the given function f is continuous on the interval [1,3] and it is also differentiable in the…

Q: On what​ interval(s) is f concave upward or concave​ downward? Given f(x)=x4-6x2

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Q: For what value of b is             continuous at every x?

A: The given function is fx=-2,x≤-1ax-b,-1&lt;x&lt;13x≥1. Assume that the above function is continuous.…

Q: On which interval is the function )--- increasing? A I1

A: f(x)=-x3-x2⇒f'(x)=-3x2-2x

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: What is the intervals to its corresponding function which have at least one real zero. f (x) = 6x? –…

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Q: The interval ___________ consists of all real numbers for which x ≤ a.

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Q: On what interval is the following function positive. f (x) = -z² -2x + 8

A: We have to find the interval where the function f(x)=-x2-2x+8 is positive.

Q: On the graph of f(x) = sin x and the domain 2n < x < 4x, for which of the following intervals is…

A: Given function is : fx=sinx Domain is 2π≤x≤4π To find the interval in which function is strictly…

Q: Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = In u;…

A: Given:  A  function  fu=ln u; gx=2x  mx=fgx To Find: Domain of f, g, m Domain is the set of all the…

Q: On which of the following intervals is f(x) = x-2 1. continuous? A (-0, +x) B [2, + ) © [1,2] D none…

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Q: If f'(x)= (1-x)/(x^2+8) , then on which of the following intervals is f concave up?

A: We have to find the intervals where f is concave up.

Q: For what values of a and b is ах + 2b, x² + 3a – b, Зх — 5, 0 2 |continuous at every x?

A: Given:

Q: On the graph of f (x) = cos x and the domain -2n <x < 0, for which of the following interu is f(x)…

A: The Solution along with the graph is given below- Strictly Decreasing function - when x1&lt;x2 but…

Q: For what value of k will the function f be continuous on (-0,0)? x² –100 f (x) = { * if x + -10 =…

A: Continuous function should not have any abrupt (sudden) changes.

Q: 20. For the given graph of f(x), use interval notation to express the solution to f(x) > 0. -4 -3 -2…

A: For the graph y=f(x), the f(x) is said to be ≥0, if the graph is above or on the X-axis. For…

Q: Suppose f(x) = VT and g(x) = 5x + 20. %3D The domain of f o g is a E (Express your answer in…

A: Domain.

Q: The domain of the function f(x)= tanh( x - 10) is Select one: O[-10, 10] O(0, ) None OR-{10} O [ 10,…

A: Set of values of x for which function is well defined is called domain of the function

Q: For what value of C is the function defined below continuous on (-∞ ,∞ ) ? f(x)= { cx + 4 }, x<2…

A: To find value of ‘c’ such that given function is continuous.

Q: D. For what values of a and b is Continuous at every x? -2, - b, f(x) = 3, -1 <x < 1 ах

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Q: Consider the function g(x) = x - 6x + 5. Which of these intervals must contain a solution to g(x) =…

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Q: The domain of the function f(x)= tanh( x- 6) is Select one: O[6, *) O[-6.6] O(0, *) OR O None OR-(6)

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Q: If f''(x)=x^4+2x^3-15x^2, then on which of the following intervals is f concave up?

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Q: Find the values of x such that |2x + 7| < 0.01. The values of x that satisfy |2x + 7| <0.01 are…

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Q: For what values of a and b is Continuous at every x? -2, x 1

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Q: For what value of the constant c is the function f(x) continuous at x = 1 Seter-2, | In (x) + 6, if…

A: We will use concept of left hand limit and right hand limit in this problem.

Q: Which of the following intervals will contain all of the function values of f (x) on the interval-4,…

A: We can solve it by cross check from given options  Let we select 0 from interval [-4,1] at x=0 f(0)…

Q: Consider the function f(x) = 8+ (In(z² – 4))* What is its domain and range? (Use interval notation:…

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Q: Suppose that f(x) = x*, x 2 5, and that g(x) = Vx + 3, x > 5. Find a formula for (f • g)(x) and find…

A: fx=x4, x≥5  &amp;  gx=x+3, x≥5 Now, f∘gx=fgx=fx+3=x+34=x+32

Q: ) Consider f(x) = r³ +x4 + 1. %3D (b) On what intervals is f(x) one to one? (c) Find a formula for…

A: I have provided solution in step2.

Q: Suppose f(x) and g(x) = 2x – 8. x + 2 The domain of f og is E (Express your answer in interval…

A: First we have to find f°g(x)

Q: On which of the following intervals is f(x) А. (2, +) В.[1, 2] C. [2, +∞) D. (-30, +∞) continuous?

A: We will solve the problem

Q: If f (x)  =In  (2x + x Sin x), use the graphs of  f ,f' , and f"to estimate the intervals of…

A: Given: f(x) = ln(2x+xsin…

Q: Let f be the function defined by ƒ (x) = (sin z)e z on the interval -, . On which of the following…

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Q: · For what values of x such that 0 < Is 27, does the graph of f(x) = x - tan r have a rizontal…

A: We will solve the following

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Given infromation:The given funcion is

Q: Let f(x)= 6-x and g(x)= ln(x). What is the domain of g o f(x)? Express your answer in interval…

A: This question is based on functions and definition of Natural logarithm.

Q: For what values of h and k is h+2x , 15 x52 -2 < x<-1 2< * 2 - Continuous at every x ? 2x2 - 2x-4,…

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