What are even and odd functions of symmetry? For example f(-x)=-f(x), f(-x)=f(x), Symmetric about y-axis, symmetric about origin?

Q: 1 f(x) rank- 3x

A: Let's find.

Q: Is it possible for a function to satisfy f(x) > 0, f′(x) > 0, andf ″(x) < 0 on an interval?…

A: We want function that is: 1. positive on interval I since fx>0   2. increasing on interval I…

Q: Explain how you might differentiate a piecewise function like |x| When it's differentiable, for…

A: We can use the concept of calculus and function in order to solve the given question.

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: Find f'(x). f(x) = x5 – 2x3 + x – 1 %3D f'(x) = Compare the graphs of f and f' and use them to…

A: Given: f(x)=x5-2x3+x-1 To find: f'(x)

Q: Sketch a graph of the function f(x) = – 3 sin(3x). 4+ -5/6 -2/3 -/2 2t/3 5/6 -1 -2 3.

A: Topic = Graph

Q: The graphs of a function f and its derivative f′ are shown on the same set of coordinate axes. Label…

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Q: or false? Explain. Function f(x)=-2 is. an invertible function

A: If a function is one one and onto as well then it is a invertible function.

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1           [ln1=0]           =0-1…

Q: How does  a function behave near a particular point at which we cannotdirectly evaluate the…

A: To understand the concept we will consider an example

Q: Find f'(x). f(x) = x5 – 4x3 + x – 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given :            f(x) = x5 - 4x3 + x - 1   To find : f'(x)

Q: Sketch f(x) = (x)/ (x^2 +1)

A: Given,  fx = xx2+1  We have to sketch it .

Q: Suppose f is a function with range (-∞, ∞) and g is a function with domain (0, ¤). Is it possible…

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Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: Explain Limits for Functions of Two Variables?

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Q: This describe the value of a function as approaches to some value?

A: Since we know that limit of a function f(x) as x approach c, f(x) approaches x as approaches c.

Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to?

A: The sum rule states that the integration of the sum of two functions equals the sum of the integrals…

Q: Let f(x) be an EVEN function. If the point (2, 3) belongs to f, then another point likely to belong…

A: Let f(x) be an EVEN function.

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: 3) If a function is continuaus at x=a, then it is differentiaoe at x-a, yes? or NO? why ?

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Q: What conditions must be satisfied by a function if it is to be con-tinuous at an interior point of…

A: A function is continuous at an interior point c of its domain if

Q: An even function is symmetric with respect to the________

A: An even function is symmetric with respect to the________

Q: Oz(-@) and Ør(@) are conjugate functions. That is, Px(-@) =Øx°(@) %3D and Oz"(-@) = , (@)

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Q: Find the exact location of all the relative and absolute extrema of the function: f(x) = 5x^3 − 60x…

A: Given function f(x) Differentiate the function and make it equal to zero for critical points

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: Let f and g be the functions defined for x > 0 by f(x) = (Væ)* and g(x) = (Vx)** Which function is…

A: According to the given information, Consider the function f and g defined as:

Q: Over the interval of (1,∞) the function is positive, negative, increasing, or decreasing?

A: The given function is as shown below :

Q: What are the even Functions and Odd Functions?

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Q: Describe the x-values at which f is differentiable x² - 5, f(x) 15-x, 2' 5 – x, x > 0

A: When x≤0 fx=x2-5 Left-Hand Limit  = limx→0x2-5=-5

Q: find domain of Function composition f(x)=,

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Q: Please explain how to solve. Thank you

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Q: The point (2,f(2)) is an inflection point .1 for the function f when f(2) = 0 %3D

A: Given statement,            The point (2, f(2)) is an inflection point for the function f when…

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: What are the Algebraic Functions?

A: algebraic function

Q: Differentiate the function.   f(x)  = x In x -x

A: Given, fx=x ln x-x

Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

A: NOTE: Refresh your page if you can't see any equations. . the total length of the wire is L=8x so…

Q: Find the point on the graph of the function that is closest to the given point.

A: Given:

Q: even function of x if f(-x) = f(x) symmetry about x-axis Other:

A: Even function of x if f(-x)=f(x), symmetry about x-axis (A) True (B) False (C) Other

Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = /x+ 5 --

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Q: A relation between x and y is a function when what?

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Q: Make a sign diagram for the derivative of the rational function. 6 f(x) = x + 3 f'(x) < 0 undefined…

A: Given function, fx=6x+3

Q: What are the odd functions?

A: We have to define odd function. If we have function y=fx then for odd function it must satisfy that…

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

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Q: The original and restricted functions are not the same functions.True or false?

A: Given, 'The original and restricted functions are not the same functions.

Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3,…

A: Graph of f' on the interval -3,2 is given.f'&lt;0 for -3,-2f'&gt;0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: What is the definition of an even function?

A: Let f(x) be a real valued function of a real variable, then f(x) is said to be even function if…