The range of the function f (x) = ]r] is a. (-00, +00) b. [0 ,+∞) c. (-∞, 0] d. None of these

Q: 7. For the function f (x)=(x-2)° +1, a. Sketch the graph of over the interval [0,3].

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: The given function is

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

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Q: The domain of the constant function g (x) = k is ________, and its range is _______ .

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Q: Find the intervals in which the function f(x)=x' – 3x² +4 is strictly increasing for all - хER.

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Q: The function h(x)= 1 over x-8, can be expressed in the form f(g(x)), where g(x)= (x-8) , and f(x))…

A: use composition of function to find the function f(x).

Q: The range of the function f (x, y) = In(-x² – + 1) is [0; +0) None of these O [0;1] O (-00;0]

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Q: The function f(x) = (1 – x)² – 4 is decreasing throughout the interval – %3D A -4 <x <0 -00 <x <1 C…

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

A: f(x)=-x3-x2⇒f'(x)=-3x2-2x

Q: For which of the following decreasing functions f does (F')'(10) = - ? 8. A f(x) = –5x + 15 В f(x) =…

A: Consider the provided question, Given, f-1'10=-18 We know that,f-1'fx=1f'x    ......(I)Compare (I)…

Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: O…

A: As per company guidelines we are supposed to answer only one question at a time. for other question…

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: For what value of x does the function f(x) = -x 4x attain the point of inflecti - in the interval…

A: i have  used that nevesaary condition for inflection point is f"(x)=0 and sufficient condition is…

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

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Q: Over the interval (0,2), the function f(x) = (-x²) e*

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Q: For all x in the domain of the function +1, this func- tion is equivalent to: F.- G. 1 H. J. 1 x-x…

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: f (x) — V2х — 1, g(x) — Зx? + 1,

A: See attached file for a step by step explanation to find the gof and its domain.

Q: f (x) = x³ - 3x²?+ 3x – 2 оn (— ох, о)

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Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

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A: The solution is given as follows

Q: 1. Consider the function: f (x) = x3 - 3x2 + 1 A. Over which interval(s) is "" concave up? B. Over…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The interval in which the function f(x) = 2x – 12x is decreasing is O a. (-0,0) O b. (-0,-4) O c.…

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Q: , for x 1 Let f(x) be a function de fined by f(x)3= Discuss the contuniuty of f andf".

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Q: Given the function f(x) = x² and the closed interval [0, 1], which of the following is a value of c…

A: Given query is to find the value of c.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: O Find the largest value of A such that the function f(x) = x + 1x? - 4x + 6 is decreasing for all x…

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Q: (4) Sketch the graph of a function f(x) satisfying (a) f(x) 2 and for x 0 for x between -1 and 2,…

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Q: (b) For what values of the constants c and d is the function continuous and differentiable for all…

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Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

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Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Are there any values of r for which the function A is discontinuous? Why?

A: We have to find out

Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 8x - 1 on the interval [0, 4], how many…

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Q: Given a function f(x) =- - 10. Determine the root of f(x) which falls Vx² - 4x between -20 < x<-10.…

A: Note that f-12=0.4645&gt;0 and f-11=0.5236&lt;0 So solution of fx=0 will lie in the range of…

Q: For the function f (x) =+ V1 +x - 3, find a, b ER such that f(a)f(b) < 0. Does 1+x there exists a…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. question…

Q: For the function f(x) = (E)', find f-'(x). 8 Of (x) = (8/") || 4 Of (x) = (V8x)* f1 (x) = V (8æ)“…

A: Solution: The objective is to find the inverse of the given function

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: For a function g(x). g"(3) = -8 indicates that G(x) is at x=3 a) concave up

A: In this question, concept of derivative is used to derive conclusions. Derivative The derivative…

Q: The absolute max for the function f(x)=r² – 2x +1 on the interval [-2, 3] occurs at : Select one: O…

A: See image below

Q: The period of the function f(x) = {7 4 for 0 < x < 8 and x for 8< x < 16 f(x) = f(x+16) is

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Q: For f(x)= x^3 -2x^2 +x-1 , determine the concavity of the graph of f at x=-1 and x=4.

A: Given function

Q: f(x) = v x² + 5x - X

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Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x -7 on the interval [1, 5], how many…

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Q: For a function g(x), g"(3)=-8 indicates that g(x) is at x=3. concave up decreasing increasing…

A: Please see the explanation below