(-1,2) (1,1) (0,0)

Q: How cabn the composite function be evaluated?

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Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

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Q: (b) Verify Mean Value Theorem for f(x)= 3x2-6x -5 over the interval[-1,4].

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Q: of these functions has a fixed point. What happens when you iterate them 3. Consider the real-valued…

A: Since we know that, fixed point is the intersection point of y=x and y=f(x), it means graph of line…

Q: Verify that the function f(x) = 2x - 8x + 6 defined over the interval [1,3], satisfies Rolle's…

A: According to Rolle's theorem,  if a function f(x) is continuous on the closed interval [a, b] and…

Q: Domain of f(x) has all reals except? Let f(x)=- x-2 Type just the number. 2

A: Topic:- function  Domain :- The domain of a function f(x) is the set of all values for which the…

Q: Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative…

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Q: Show that f(x)= -1/(1+x^2) is pseudoconvex please check also the attached picture

A: Let f:S→ℝ be a differentiable function and S be a non-empty convex set in ℝn, then f is pseudoconvex…

Q: Compute the derivative of f(x) = x³/2 using the limit definition. Hint: Show that f(x + h) – f(x) _…

A: We  will compute the derivative of given function  by using first principle of derivative

Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

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Q: True or false? Explain. The function f(x)=x² is invertible 1S

A: A function is invertible if we can establish one to one function such that two input can't have same…

Q: What are intervals of concavity of the function f(x) = 2x³ 2x³ - 6x² - 3 ? Concave upward on (-1,…

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Q: Find the absolute maximum and minimum values of f on the given interval. f(x)= (cube root of x)…

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Q: A function fis defined by Sx. x<-2 g(x) = bx, x z -2 bx².

A: It is evident that we need to find the value of b if g(x) is continuous. Now,…

Q: The function f(x) = vx – 2 + V4 – x is – increasing on (-∞, 3) and decreasing on (3, 0) decreasing…

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Q: Rightmost xvalue where f(x) =3

A: Question : Right most x value where f(x)=3

Q: Verify Mean Value Theorem for the function f (x) = -6x+x³ over the interval [1,3]. %3D

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Q: 10. ( ) Find the absolute extrema of the funcion f(x) = 3 Vx2 - x on the interval -1, 1.

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Q: Approximate f(3) centered at 0 of f(x) = 2x³ + 3x² + x - 1. %3D

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Q: find the interverse of the function on the given domain. (Enter the domain using interval notation.)…

A: For (a),

Q: 10 1. If :| f(x) dx = –7 and = 1 then determine 1- f(x) dæ || -3 -3 showing working.

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Q: 5. Using the limit definition of a derivative, find f' (x) for the following function: SHOW YOUR…

A: Given function: fx=3x2-8 To find: f'(x) using the limit definition of a derivative. Formula used:…

Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

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Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &amp;…

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Q: Apply the Mean Value Theorem for the function f(x) = 5x* – 3x – 2 over the interval [-1,2]. Show…

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Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

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Q: What is the value of f (-)?

A: Given-  F(x)= -8x+4 F(-1/4) means finding f(x) at x = -1/4

Q: Find f '(x) for f(x) = In x - %3D www f '(x) = www

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Q: pn, sketche 40 7- 1- -3 -1 -2 -3 hu r

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Q: Find the open interval(s) where the function is increasing and decreasing. f(x) = - x + 3 Show work…

A: For a function f(x): f(x) is increasing in the interval where f'(x) &gt;0 f(x) is decreasing in the…

Q: How can I shorten this f(a+h)-f(a) / h. And give me some examples and explain

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Q: Use second derivative test, If f() 16% + 10 then f(*) has a local maximum at the point * =-5 * =-2 O…

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Q: The function f(x) = Vx – 2 + V4 – x is increasing on (-∞, 3) and decreasing on (3, co) increasing on…

A: graph of the function is -

Q: Use second derivative test, If f(x) = 4x + 8 then f(x) has a local maximum at the point O r = 2 O r…

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Q: A function fC) is defined as f) = --Sr. What is f(-3)? %3D

A: Explanation of the solution is given below..

Q: A piecewise function f is defind by [1-x, x1.

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Q: Please explain how to solve. Thank you

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11…

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Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, 1)…

A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

Q: domain and range of f(x,y)

A: Given: f(x,y)=9-x2+y2 -42 To find: Domain and range.

Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: Determine all critical points for the function. f(x)= x^3-12x-2 show all work

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Q: (-3,3) Homework f(x) G5,1), Evauate (4,-2) -- ,f(x)dx

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Q: Use second derivative test, If f(x) = 36x + 4 then f(x) has a local 3 maximum at the point O x = -7…

A: Here we need to find the local maxima of the function.  The solution is following .

Q: prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3]

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: function f(z) 2

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Q: Number of points where f(-|x|) is non-differentiable in its domain is (1) O (2) 1 (3) 2 (4) 3

A: Given : Number of points where f(-|x|) is non-differentiable in its domain is

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: