Let f be a function with the following known values f( – 1) = 1, f(0) = – 4, and f(3) = 5. %3D Let g be a function with the following known values g( – 1) = – 1, g(0) = 3, and g(3) = – 3. %3D

Q: Differentiate the following function. G(x) = 3x - 7e* G'(x) =

A: given G(x)=3x-7ex we know that                   ddxxn=nxn-1ddxex=ex

Q: Determine  for the following function:  g(2.4)

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Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: Consider the following function. (If an answer does not exist, enter DNE.) h(x) = (x + 1)7 − 7x − 3…

A: The given function is  h(x)= (x+1)7-7x-3. To find the interval where h(x) is increasing and…

Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

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Q: The graph of a function f is shown. Which graph is an antiderivative of f and why?

A: Graph of a function f is given. The objective is to find the graph of the antiderivative of f.

Q: In general, (fg)' is not equal to f' g', but let f (x) = e3x and find a function g such that (fg)' =…

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Q: If  f(x) = bx  represents an increasing function, then b >

A: Given, fx=bx represents an increasing function when b>1  for example: f(x)=2x The graph of the…

Q: Determine  for the following function: . g(1.1)

A: A function defines one variable in terms of another. The statement "y is a function of x" denoted by…

Q: Q3:Discuss the behavior of the following function as x0:

A: We have to discuss the behavior of the following function as x tends to 0. So, f(x) = 0 if x <_…

Q: 1 g(x) = /3 — х

A:

Q: Consider the following functions. f-((-3,-2), (2, 0), (1, – 1), (–2, –5)} and 8 = ((5,0), (0, 1),…

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Q: Find the function :ス」 of Inuerse U-12 シ f() 13

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Q: Find f ∘ g ∘ h. f(x) = x4 + 8,   g(x) = x − 6,   h(x) =    x

A: Here we solve composition of functions.

Q: Describe the long run behavior of f(p) = – 2(p+1)(p – 3)²(p+ 3): %3D As p + - 00, f(p) → As p → 00,…

A: Given:  f(p)= -2(p+1)(p-3)2(p+3)2

Q: The one-to-one functions g and h are defined as follows. g3D((-5, 6), (-4, 2), (-2, 4), (6, -4)}…

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Q: Find f ogo h. Show all of your work for full credit. f (x) = , g (x) = x², h (x) = x² + 2

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Q: Differentiate the following function: 1 g(x) = a³ + 3 d (x) =

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Q: Consider the function h : N → N given by h(n) = n + (-1)*+l.

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Q: Express h(x) as a composition of two functions:    h(x) = ∛( x2 + 1).

A: Given: h(x)=x2+13 To find: The composition of two function. That is h(x)=f(x)∘g(x)

Q: The data below is for a certain function h (x) h (x) -3 21 1 3

A: The graph of h-1(x) will pass through points of (h(x),x)

Q: Suppose that V(x) represents the number of violent crimes committed in year x and P(x) represents…

A: Given  V(x) represents the number of violent crimes committed in year x  P(x) represents the number…

Q: Which of the following hold for the given function? The cost of a first class stamp over the past…

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Q: Find f ogohif f(x) =, g(x) = x", h(x) = x + 3. 10 x+1'

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Q: The function g is related to one of the parent functions described in an ea g(x) = Vx (a) Identify…

A: The given function is  g(x) = (1/6)√(x)

Q: Find g'() if g(x) = f(sec x). 3

A:

Q: What is the end behavior of the given function? f(æ) = –12Va As x → 0, f(x) → -o. As x → -0, f(x) →…

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Q: Differentiate the function.

A: The given function is ,gx=lna-xa+x the above function can be written as, gx=lna-x-lna+x…

Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: The one-to-one functions g and h are defined as follows. g={(-5, 5), (-4, -1), (1, 7), (7, 8)} h(x)…

A: Given: The one-to-one functions g and h are defined as follows:g=-5,5, -4,-1, 1,7, 7,8hx=3x+10 To…

Q: Find functions f and g so that  h(x)=(f•g)(x) for h(x)=1/x^3-7

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Q: Differentiate the following function: VE-6V u'

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Q: Activity #2: Differentiate the following functions. f(x)= (x + 3) (x – 5)

A: Given: f(x)=(x+3)(x−5)

Q: onsider the following function, where R is the revenue (in thousands of dollars) and x is the…

A: The given function is R =-14x3+3x2+4,   0 ≤ x ≤ 7

Q: If f(x) = bX represents an increasing function, then b >

A: topic- functions

Q: Use the graph of f to evaluate the following: 6 + f(x) 5 X 4 رها 3 N 1 1 2 4 5 The average rate of…

A: Equation of slope:  Slope =(y2-y1)/(x2-x1) The average change of the function over the given time…

Q: below represents tne function F. 3 4 6 7 8. F(x) 9 9 17 65 129 257 ation that represents this…

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Q: Use the given table to complete the table below. x ​f(x) ​g(x) −2 0 8       0 3 0       2 5 -2…

A: The values of functions f(x) and g(x) at x are given. To find (f+g)x

Q: Differentiate the following functions. (a) a(x) = e2 +x° + e*

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Q: Identify the piecewise defined function from the graph b) f(x) = {*+2, if xs0 if x >C (x² if x s0…

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Q: Given the piecewise function below, find the value of which makes the function continuous. -I f(x):…

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Q: Consider the following functions. f (-3,–2), (2, 0), (1, – 1), (–2, –5)} and 8 = {(5,0), (0, 1), (1,…

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Q: Determine the end (long run) behavior for the function below: f(x) = -2(x – 1) (x +2)² Select the…

A: We have to find the values of function at infinity.

Q: What is the range for the function h(x) = (x 3) + 2? | 0(- 0, 3] 0(- 0, 2] 0(- 00, - 2] | O [2, 00)…

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Q: .1.Find the natural domain and range of the function f (x)=

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Q3 Discuss the behavior of the following function as x0:

A: Now this is a piecewise-defined function whose value is 0 for non-positive values and for positive…

Q: Describe the long run behavior of f(t) : - 4 3: As t → - 0, f(t) → ? As t → 00, f(t) → ? v

A: We will use concept of limit to answer the problem.

Q: The parent function f(x) = Vx is related to g. Describe the sequence of transformations from fto g.…

A: Given that: f(x)=xg(x)=x-3