2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd function. Show algebraically that indeed an odd function f(x) is

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Q: Find the domain of f(x) = 1/x and discuss the behavior of f near any excluded x-values.

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A: topic - transformation

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A: Given: fx=ln2x For drawing graph of given function, we use graphing utility So, graph of given…

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Q: 10 The function f(x) = - has a removable discontinuity at x = 2. To remove the - 2 discontinuity,…

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Q: Find the domain of f(x) = 3x/(x − 1) and discuss the behavior of f near any excluded x-values.

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Q: sketch the approximate shapes of the graph of the two functions on the same axes without using a…

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Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

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Q: Example 1: The function has a removable discontinuity at 2. How would you redefine f(2) to make f…

A: Given: also, this function has a removable discontinuity at 2.   To determine: redefine f(2) to…

Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0<x<2-x , if x≥2 To draw the graph .

Q: Suppose f(x) is a twice-differentiable function which is positive and decreasing for all real…

A: Consider the given conditions for f(x) and assume the graph for function f(x) for the given…

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: Given:- The graph is given we have to find the absolute extrema.   Explanation:- An absolute…

Q: 1. Find the domain of the function 1- e*? 1- el-x f(x) =

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Q: 7. If, for all real numbers x, f'(x) 0, which of the following curves could be a part of the graph…

A: For all real numbers xf'(x)<0 ⇒f(x) is decreasing for all real numbers.f"(x)>0 ⇒f(x) is…

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: 19. Suppose f is a piecewise-defined function, equal to g(x) if x 2, where g and h are contin- uous…

A: Consider the given piecewise function. f=gx      x<2hx      x≥2 The functions g(x) and h(x) are…

Q: 5. Consider the following piecewise function. x-4, if x>2 f (x) = {- 1, if x = 2 x² - 4, if x<2 a)…

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Q: In the given question as afollows, sketch the graph of the function and state its domain.   f (x) =…

A: Given: fx=lnx For drawing graph of given function, we use graphing calculator

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

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Q: Given f (x) = sin (z) and g (x) = x, the graph of the combined function h (x) = f (x) g (x) most…

A: Given  f(x) = sin(x) and g(x) = x

Q: Suppose that the differentiable function y = g(x) has an inverse and that the graph of g passes…

A: Given,

Q: Suppose g is an odd function and let h − f o g. Is h always an  odd function? What if f is odd? What…

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Q: On the graph of f(x)=secx and the interval [−2π,0), for what value of x does f(x)=1? Choose all…

A: Given  Graph of f(x)=secx and the interval [−2π,0) To do Find the value of x at which f(x)=1. Choose…

Q: 1. Match the equation of the following functions to the appropriate graph. Justify your answer. . ..…

A: The given function is, i) f(x)=22(x-3)+2ii) h(x)=-122x+2-2iii) g(x)=12-x+1-2iv) k(x)=-2x-3+2

Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

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Q: True or false: For the function f(x) =1/(x - 3), f is not defined at 3, so f is discontinuous at…

A: True or false: For the function f(x) =1x-3, f is not defined at 3, so f is discontinuous at 3.

Q: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

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Q: 1. Let f(r) = 1– x². (a) Sketch a quick graph of f for -2 <r < 2.

A: The given function is The graph of the function is inverted parabola with vertex going in upward…

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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: 9. The functionƒ has the property that f(x), f'(x), and f'(x) are negative for all rea values, x.…

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Q: If r= a is a vertical asymptote for the graph of a function y= f(z), then we can definitely conclude…

A: If x=a is a vertical asymptote for the graph of a function f(x), then at x=a the denominator of the…

Q: Q3. Discuss: max f(x), where f(x) = cos.x . (Start with a graph of the function, and confirm your…

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Q: Let f(x) = 1 and 1 if x > 0 g(x) 8 +- if x < 0 Show that f'(x) = g'(x) for all x in their domains.…

A: Given,The function g(x)=1x Consider only the case when x&lt;0 because already know that f(x)=g(x)…

Q: The graphs of power functions of the form f(x) = xn , where n is an even integer, always contain the…

A: The graphs of power functions of the form, f(x)=xn, where,n is an even integer ,always contain the…

Q: Find the domain of the function. g(x) = ln ( 1/x - 5)

A: given,

Q: A periodic function f(x) is defined as 3, f(x) = {x, f(x+2) -1≤x<0, 0≤x<1. Based on the above…

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Q: If the graph of a function f(x) is decreasing over the interval (a, b) then which of the following…

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Q: (b). Determine whether the function is continuous or discontinuous at the given x-value. x²-3 x=-5…

A: Given function is

Q: ++ 1 7. The function y = f(x) is shown in the graph above. What is f(S(-2)) ?

A: We are given graph of a function , y=f(x) We need to calculate f(f(-2)) First we will calculate…

Q: 1. Sketch the reciprocal of the function f (x) = x - 6.

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Q: given that f(x)= 3 sin (2x-30). Draw a graph for  f(x)^-1.

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Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: 7. Determine the equation of the oblique asymptote for the following function. 4x? +7 x – 11 f(x) =…

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