Suppose that the function g is defined on the interval (-2, 2] as follows. -1 if -2

Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: Suppose that the function f is defined on the interval (-2, 2 as follows. -1 if-2<x<-1 if -1<x<0…

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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: Suppose that the function f is defined on the interval (-2.5, 1.5) as follows. -2 if-2.5 <x-1.5 -1…

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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: Define f(x) = (x2 - 81)/(x - 9) at x = 9 so that the function becomes continuous at 9.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Suppose that the function g is defined on the interval -2, 2) as follows. -2 if-2<x<-1 -1 if -1<x<0…

A: Suppose that the function g is defined on the interval [-2, 2). Now we have to find the values of g…

Q: Define f(x) =(x2 - 81)/(x - 9)at x = 9 so that the function becomes continuous at 9.

A: Given function is fx=x2-81x-9. To define function fxso that the function becomes continuous at x=9.…

Q: If g(x) is an odd function defined for all values of x , can anything be said about g(0) ,Give…

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Q: is the function continuous at x=5 if f(x)={x2-4x-5/x-5,     x5

A: Given: f(x)=x2-4x-5x-5  ,   x&lt;5x+1            ,  x≥5

Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-2<x<-1 -1 if-1<x<0…

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Q: snip

A: A function f is decreasing on an open interval I, if for any choice of x1 and x2 in I, with…

Q: Suppose that the function f is defined on the interval [-2, 2) as follows. -2 if -2<x<-1 -1 if…

A: It is given that,   f(x)=-2  if -2≤x&lt;-1-1  if -1≤x&lt;0 0    if  0≤x&lt;1 1   if  1≤x&lt;2 We…

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: Suppose that the function g is defined on the interval -2 if-2<x <-1 -1 if -1<x<0 g (x) = < 0. if 0…

A: Given: g(x)=-2if -2≤x&lt;-1-1if -1≤x&lt;00if  0≤x&lt;11if 1 ≤x&lt;2 To determine:…

Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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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&lt;2hx      x≥2 The functions g(x) and h(x) are…

Q: find the largest domain for f(x) = (x-3)2   with an upper x bound of 8 such that the function f is…

A: fx=x-32 Differentiating with respect to x, we get f'x=2x-3 Now function is non decreasing in the…

Q: Suppose that the function h is defined on the interval (-2, 2 as follows. -1 if-2<xs-1 if -1<x<0 0.…

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Q: 9. If f (x) = prove that f (xr) is an even function. et -1 2

A: A function f(x) is said to be even if we have f(-x)=f(x)

Q: If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

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Q: 1 Discuss the continuity of the function g(x) : on the interval [-1,2]. x2-4

A: Consider the given function and interval, f(x)=1x2-4 and [-1,2]   Now, check the value of the…

Q: Suppose that the function h is defined on the interval (-2, 2 as follows. (-1 if -2<rs-1 if –1 <x<0…

A: Solve the function

Q: Suppose a function f is continuous on the interval [1, 5] except at x 3 and f(1) = 2 and A5) = 7.…

A: In this question we have to given two graphs one is holding IVT while another one is not

Q: Find the value of that will make the function f(x) continuous everywhere. f(x) = {ka² -2, (4x+k,…

A: Given function is- f(x)=4x+kx≤-5kx2-2x&gt;-5 To find- To find the value of k that will make the…

Q: Suppose that the function f is defined on the interval (-2.5 2 if-2.5 <x<-1.5 1if-1.5 <x<-0.5 f(x) =…

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Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-25x<-1 -1 if -1Sx<0…

A: Function value at a given point

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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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: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=-2. If g(x)=xf(x), then…

A: Product Rule of differentiation : d(u.v)dx = u.dvdx + dudx.v

Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Suppose that the function h is defined on the interval-2, 2) as follows. -2 if-2<x<-1 -1 if-1<x<0 h…

A: Given:     To determine: h(-2), h(-1.5), h(1)

Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

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Q: Determine whether the function f(x)=5+3x if x <4…

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Q: Suppose that the function g is defined on the interval (-2, 2] as follows. 1 if-2<x<-1 0 if - 1<x<0…

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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: 14. Determine if the function f(x)=2x°V4-x* is either even, odd, or neither (even nor odd). Does the…

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Q: Suppose that the function h is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5<x<-1.5 -1…

A: We can answer all the three questions as below.

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: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=2. If g(x)=xf(x), then…

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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: Find the discontinuities of the function 2х — 1 - if 2 < x x +1 1 Let G be the function defined by…

A: Given,

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: Show that a function f(x) = ∑ ∞n=2 (1/x-nπ + 1/nπ) is well defined on [0, π]. That is, prove the…

A: Given function,

Q: 19 Determine if the given function is continuous at a given interval. * (1 Point) at [-5,5]. x² – 1…

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Q: Suppose f(x) is a smooth function that passes through the points (3, –5) and (-6, 4). Prove that…

A: Given,        Suppose fx is a smooth function that passes through the points 3,-5 and -6,4.…

Q: On what intervals is the function f(x) = x-4r both decreasing and concave up? Write your answer in…

A: fx=x4-4x3 Differentiating with respect to x, we get f/x=4x3-43x2    ∵dxndx=n·xn-1=4x3-12x2 Again…

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

A: