Given the following graph of f(x), state a) the domain b) the range 3t -6 -5 -4 -3 -2 -1 4

Q: Given the graph of y = f(r) below, at which of the marked r-values can the following statements be…

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Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23.

A: fx=2x2+5  &  gx=3x+a Now, f∘gx=fgx=f3x+a=23x+a2+5

Q: 2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 67. -20 -2-

A: f(g(0))=? f(g(2))=?

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

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

A: Given f(x)=ln (x-4) Give values for x and find f(x) and plot the points to obtain the graph.

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A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…

Q: (a) If f(x) = x + 3x, find f '(x). f '(x) = (b) Check to see that your answer to part (a) is…

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Q: What is the domain and range of  a) g(x)= 4/x b) f(x)= (1/2)x3 + 2 c) f(x)= x+ √4-x2 Show all…

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Q: In order to sketch the graph of f'(x), we must have a formula for f(x).

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Q: use the graphs of f and g to graphh(x) = ( f + g)(x).

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Q: 13. Given the function f (x) = 2xv1 – x2. Determine the following: i. Graph

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Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: The graph of f(x): 1 is shown on the Cartesian plane The domain of f(x) is: The range of f(x) is:

A: as we can see here vertical asymptote is x=0 which means the function is undefined when x=0 so the…

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23

A: f(x)=2x2+5g(x)=3x+a

Q: 5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c-…

A: Given problem:-

Q: For what numbers x, - 2π ≤ x ≤ 2π, does the graph of y = csc x have vertical asymptotes?

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Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: (a)If f(x) =x4+2x , find f'(x).(b) Check to see that your answer to part (a) is reasonableby…

A: According to the question, we have to find f'x and compare the function f and f' if fx=x4+2x. The…

Q: 1) Sketch the graph of f (x) = 3x3 – 9x² and determine all its significant features.

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Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: determine at what point (s) the graphs of f (x)= 4/x+2 and g (x)=1/4-1/5(x+2) intersect.

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Q: r f(x)=x^2/(1+x), determine the concavity of the graph o

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Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: 2. 3(1-1 On what interval is the graph of f(x): concave downward?

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Q: Consider the graph of the function f(x)= x^2-16/x^3-5x^2+4x Where is the removable discontinuity?…

A: The given function is fx=x2-16x3-5x2+4x. The removable discontinuity points are those points, where…

Q: If f(x) = ax4 + bx3 + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

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Q: If f(x) = kx' + x² – kx +2, find k such that the graph of f contains the point (2, 12).

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Q: Ay 2- -4 -2 2 -2

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Q: Given that f'(x) = 2(x + 2)(x – 1), - The graph of f(x) at x = - 5 is Select an answer

A: topic - functions

Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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Q: 3. Briefly describe the characteristics of the graph of y = f(x) that can be deduced from each of…

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Q: 9. Sketch the graph and determine the domain and range -x', x 2

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Q: Given the graphs of f(x), f'(x) and f"(x). Determine which is which.

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Q: Show that the graph of f(x)= x6+4 is symmetric with respect to the y-axis without actually drawing…

A: Given: f(x) = x6+4 Graph of a function f(x) is symmetric with respect to y-axis is f-x = fx

Q: Previous Sketch a graph of f(x) - (r + 1)* + 2 5- 4 3 2 -6 -5-4 -3 -2 -1 -1 | 2 3 4 5 -2 -3 -4 Clear…

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Q: Graph the function g (x) = 2** and give its domain and range using interval notation. 4- Domain: […

A: Explanation of the answer is as follows

Q: Given the function f(x) = -x² +6x+2, discuss its relative maximum and minimum points, the intervals…

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Q: Use the graphs of f and g to:Find (fg)(2).

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Q: ( 2- x, if x 3

A: Solve

Q: The graphs of f (x) = 2" and g(x) = 3"- are shown. %3D

A: According to logarithm formula .

Q: Graph the functions f(x) = 2x and g(x) = 2x - 3 in the same rectangular coordinate system. Select…

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Q: The graph of f", is given. y 2 -1 3 4 5 -2 -6 -8 -10 2.

A: Given: The graph of f''x is  For x<2,  f''x<0; For x=2,  f''x=0; For x>2,  f''x<0 As…

Q: Use the graphs of f and g to:Graph f + g.

A: Given: The graph of function f and g as  To sketch: The graph of f+g,

Q: Consider the following graph on the interval – 180° < r < 255°: -

A: The graph is of the cosine function.

Q: Use the graphs of f and g to Graph f + g.

A: Given: f(x) X -4 -3 -2 -1 0 1 2 3 Y 5 4 3 3 2 1 -1 -3   g(x) X -4 -3 -2 -1 0 1 2 3 Y 0…