Let f(x) Jx? +1 x² +1

Q: The graph of a function y = f(x) on the interval [ - 3, oo) is shown below. Use the graph to answer…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: a. Find df/ dr if = / 2 In t dt. f(x) b. Find f(0). c. What can you conclude about the graph of f?…

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Q: 3. The graphs of f and g are shown below. Let P(x) = f(x)g(x) and Q(x) S(x) Find P'(2) and %3D g(x)…

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Q: 11. The graph of f(x) = 2¬* is given below. Find the x-coordinate of the point (x, 1/8) marked %3D…

A: We put the given point in the given equation and compare the power of both side to calculate the…

Q: The diagram below shows the graph of the function y=-x +9. Point C (0, c) lies on the curve. Find…

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Q: f and g are the functions whose graphs are shown, and h(a) = f(x)g(x), find h' (2). %3D

A: Given: hx=fxgx The graph of functions f and g are shown as To find: h'(2)=? Used formulas:…

Q: Graphs A and B are approximate graphs of f and f' for f(x) x28x - 10 So f is decreasing (and f is…

A: Let us find the interval in which f is decreasing:

Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Here we have a graph of f'(x) is

Q: The graph of f and g are given. Find a formula for the function g.

A: Given equation of f(x) - f(x) = xFrom the curve we see that - 1) g(x) is shifting 2 points upwards…

Q: Let f(x) = cos x. (a) Find f ¹( 37). (b) Using the result of part (a), what point is on the graph of…

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Q: Answer the questions based on the graph of function f is given below. Enter DNE if an answer does…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the function y = f(x) graphed below. The two points marked on the graph are A (-1, ) and B…

A: Given , y = f(x) = Cax                          .................(1) Function f(x)  is passing…

Q: Let H(x) = f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find…

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Q: a. Find all points on the graph of f at which the tangent line is horizontal. b. Find all points on…

A: We first find the slope of f(x) using differentiation.

Q: a. Graph the function f(x) = x2 - 8x + 12. b. Identify the point (a,f(a)) at which the function has…

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Q: Question 5 The graph of f has an inflection point at x = (А) 2 B) В) 1 (c) o (D -2

A: We have to solve the problem

Q: Question 7 Sketch the graph of a) Sketch the graph of f(x) = |a2 – 9 b) Find an expression for f'…

A: Function is not differentiable at x= -3 and x= 3.

Q: et H(x) = 3f(x) + 4g(x), where the graphs of f and g are shown in the figure to the right. Find…

A: Topic:- calculus

Q: The graph of f (x) = x² is transformed to create the graph of g (x) = -. Which of the following…

A: Given,          The graph of fx=x2 is transformed to create the graph of gx=-15x2.

Q: Fill in the blank/s:

A: point form slope: y-y1=m(x-x1)Where m=f'(x) = slope(x1, y1) is a point on the line.

Q: (-x x<0 x² +1 x20 Graph the function f (x) =- Use open and closed circles where necessary. Label at…

A: Given: piecewise  function  is   f(x) =…

Q: Determine all values of x, (if any), at which the graph of the function has a horizontal tangent. 6x…

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Q: 0 if a 1

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Q: The graph of f and g are given. Find a formula for the function g.

A: Given graph is

Q: The graph of y = f(x) passes through the points (0, 1), (1, 2), and (2, 3). Find the corresponding…

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Q: A roller coaster has the shape of the graph in Figure . Show that when the roller coaster passes the…

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Q: Consider the function y = f(x) graphed below. The two points marked on the graph are A = (-1, 3) and…

A: To find the formula for the given points and graph.

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: Sketch the graph of  f by hand and use your sketch tofind the absolute and local maximum and minimum…

A: Given function: Given interval:

Q: (a) sketch the graph of the function f(x)=x|x| (b) for what values of x is f differentiable? (c)…

A: The given function y=x|x| can be written as,

Q: Where is the function h(x) = |x – 1| + |x + 2| differenti- able? Give a formula for h' and sketch…

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Q: The graph of the function y = f(x) consists of a semicircle and a line segment as shown below. -2-…

A: We can use the method of using area formulas to calculate definite integrals to solve this problem.…

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: a. Graph the functions f(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

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Q: Find all x-values where the graph of the function f(x) has a horizontal tangent (a) f(x) = 3 x2 + 9…

A: (a) Given function is : fx=x33-x22+9 To find all value of x where the graph of the function fx has…

Q: Question: At what value(s) of æ, if any, does the graph of the function have a horizontal tangent…

A: Given a polynomial function,  f(x) = 2x3 - 3x2 -36x + 5 We have to find the values of 'x' for which…

Q: Find the value a > 0 such that the tangent line to the graph of f(x) = x²e-3* at x = a passes…

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Q: The graph of f and g are given. Find a formula for the function g.

A: we have been given the graph of f and g. where f(x)=x.we have to write the formula for g(x).

Q: Use the graph of y = f(x)in the accompanying figure to estimate the value of %3D f'(1). 1.e F1 -1…

A: according to given graph line is passing through point 2,6,1,2 so, value f'1 will be f'1=6-22-1=41=4

Q: a. For the function and point below, find f' (a). b. Determine an equation of the line tangent to…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: (g) The graphs of the functions f (t) and g (t), for the domain t 2 0 are shown:

A: The rate of change of the value of a function at a point is equal to the slope of the tangent to the…

Q: Consider the function y = f(x) graphed below. The two points marked on the graph are A = (-1, 12)…

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Q: 8) The graph of y = f (x) is shown below on the domain [0, 5]. Sketch the graph of y = f (x) on the…

A: The graph reach maximum at x=1  and minimum at x=3 When graph  of f(x) reaches maximum or minimum…

Q: Question 3 of 5 Select the correct answer. Consider function f given as a table below. -3 -2 -1 0. 1…

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Q: The graph of f(x) = Va is shown. Give a formula for the function g(x). %3D 4- f(x) = Vx 3- %3D 2-…

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Q: The graph of y = f(x) is in the figure below. Does the function f(x) appear to be continuous on the…

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