The following is a graph of a function g(x), defined on the interval [0,4] .

Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: Sketch the following functions showing the detailed steps in different graphs: ) f(x) = %3D 1+V-x

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Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: Suppose that h(x) = f(x) / g(x) . The function f can be even, odd, or neither. The same is true for…

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

A: Given: f(x)=10x+x2−4x−2

Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: The following represents the graph of the derivative f'(x) of a continuous function.

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Q: Sketch a non-constant function that is continuous on (- o,00) and has the following properti f(-8)…

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Q: Given f(x) is a continuous function. If f( – 5) = 1 and f'(x) > 4 for – 5 <x < 2, what is the…

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Q: draw the graph of a function on [O, 5] with the given properties. f is right- but not…

A: Given: Draw the graph of a function on [O, 5] with the given properties.f is right- but not…

Q: ) Graph the function and determine the range. Label points of interest clearly. Slæ| h(x) = if x -1

A: The range of a function f(x) is the set of all possible values of f(x).

Q: 3. Determine the x interval(s) on which the function is increasing.

A: From the given Figure, it is observed that the graph of function has local maximum at x=-4  and…

Q: The smallest number c for which a function f is periodic is the ________ of f.

A: Given The smallest number c for which a function f is periodic is the ________ of f.

Q: Sketch the graph of the function g(x) = 3cos(2x) on the interval -2n s x s 2n.

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Q: Find the intervals on which the given function is increasing and those on which it is decreasing.…

A: Given:- g(x) =(x-2)/(x-1)  To find:- Intervals where function increasing and decreasing

Q: Draw a possible graph of a continuous function y = f(x) that satisfies the following three…

A: The given continuous function is y = f(x).For a given continuous function if f'(x) &gt; 0 then the…

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: 3. Sketch the graph of a function f(x) that is continuous except for the stated discontinuity. a).…

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Q: 2. Let f(x) = e" + for x E [0,3]. Determine the length of the graph of f. 4e

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Q: Sketch the graph of a function that satisfies all of the given conditions. f'(x) > 0 for all x # 1,…

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Q: The graph of a continuous function f : [0,9] → R is given below. The function

A: given F(x)=∫0xf(x)dx

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: Determine using the given graph if the function f is continuous on the following intervals. 1. a.…

A: A real valued function f(x) is defined in an interval,say [a,b] and its graph is available to…

Q: Create a graph of the following function to determine whether it is continuous on its domain. S-a +…

A: From the basics of Limits and Continuity

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

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Q: For what value of k is the following a continuous function?

A: Function is continuous if   limx→2-f(x)=limx→2+f(x)=limx→2f(x)

Q: Draw a graph of a function that satisfies the following p 1) f(x) 0 for x>0 3) f(0) = 0 %3D 4) f is…

A: Given description of function 1) f(x)&lt;0 for x&lt;0 2) f(x)&gt;0 for x&gt;0 3) f(0)=0 4) f is…

Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x&gt; - 1   means f(x) is concave up on both sides of x=-1

Q: 3x if x 2

A: Given that a function of f(x) and we find value of k. We know that if a function is continuous at x=…

Q: the following function is a continuous function at x=2 امرفق x² +x-6 x+ 2 x) = x2 - 4 x = 2

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Q: Consider the graph of a function f on the interval [0, 4).

A: We have to conclude about local extreme value of f from the graph.

Q: Consider the function f(x) = kx", where n is an even, positive integer. %3D (a) (3 points) If k < 0,…

A: Consider the equation

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,…

A:

Q: draw the graph of a function on [O, 5] with the given properties. f is left-continuous but not…

A: f is left-continuous but not continuous at x=2, and right-continuous but not continuous at x=3. Let…

Q: Given the graph of f(x) below, what is the open interval(s) over which f′(x) is negative?

A: The graph of f(x) is as shown below :

Q: form the graph of f(x) into th 5) f(x) = x³ g(x) = -(x – 2)° %3D 3 %3D

A: We have to find

Q: Which of the following is true about the graph of f(x) = 3/(x+1)? a. It is continuous on (-6,-1]…

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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: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x&gt;Infity Lim f(x) = 2 or…

Q: Which of the graphs of f(x) below have the following properties? • f (x) > 0 on (b, d) and (g, ∞) •…

A: we know that when the derivative of a graph is greater than zero then the graph of f(x) increases…

Q: Draw the graph of the function f(n)= 1– n from Z to Z.

A: Graph of the function

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: Define g(4) for the given function so that it is continuous at x= 4. 5x - 80 g(x) = 5х - 20

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Q: If g (x) = 1 - x, defined at 0 ≤ x ≤ 1, graph its extension on the interval [-1, 1].

A: extension of the function

Q: Sketch a graph of the function f that is continuous on (- o0,00) and has the following properties.…

A: First, we need to satisfy that f'(x)&gt;0. So, the function must be an increasing function. So, the…

Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.