The graphs of two functions, f and g, are illustrated. Use the graphs to answer parts (a)–(f). y=g(x) |(2, 2) (4, 1) (6, 1) (6, 0) 22, 1) 2 (3, –2) (5, –2) (4, –3) (a) (f+ g)(2) (b) (f + g) (4) (c) (f – g) (6) (d) (g – f) (6) () ()(4) (e) (f•g)(2) 2.

Q: Use the graphs of f and g to evaluate the functions. y = g(x) 3 2 2 3 (a) (f - g)(1) (b) (fg)(1)

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Q: Use the graph of y f(x) to graph the function g(x) = f(x) - 2. y f(x) AY 6- 4- 4-

A: Here we will use vertical downward transformation rule for plotting graph of g(x) = f(x) - 2. Graph…

Q: Use the graphs of f and g to evaluate the functions. y-fx) 4 4 y g(r) 3- 3. 2- |十 1. 2. -1 2. 3. 4…

A: Consider the combination of functions fx and gx, 1. f∘gx=fgx2. g∘fx=gfx From the given figures it is…

Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D…

A: here f(1)=2,g(1)=1,f(5)=3,g(5)=2 Lets find f'(1),g'(1),f'(5),g'(5): for 0≤x≤2…

Q: Which transformation from the graph of a function f(1) describes the graph of 5f(z)?

A: When the graph changes its shape or appearance it is called transformation and we have different…

Q: Use the graphs of f and g to evaluate the functions. y-fx) y g(x) 3. 2 4 (e) (f- g)(1) (b) (fg)(3)…

A: (a) (f - g)(1) = f(1) - g(1) = 2 - 3 = - 1

Q: Use the graph of f(x) = to sketch the graph of g. %3D g(x) %3D y 10 f(x) = %3D 5 X -4 -2 2. 4 -5 -10

A: Since g(x) is half of f(x) the required graph will shrink just put some values and see to where the…

Q: the graph of a function of the form f (x) = ax2 + bx + c, where a  0?

A: The function of the form f(x)=ax2+bx+c,a≠0  is a quadratic equation of first degree. The terms a, b…

Q: Use the graph of y = f(x) below to graph the function y = –3f(x – 2) 5- 4- 3 2- y = f(x) 1- -6 -5 4…

A: topic - functions

Q: Use the graphs of y = f(x) and y = g(x) below to find the function value. %3D 4 4 - 3- 3- 2 - 1- 2 3…

A: Given,           y =f(x) and y =g(x)

Q: e) Draw the graph of f. x2 f(x) 16 — х2

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

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Q: 2. Sketch the graph of the function (a) f(x,y) = /x2 + y²

A: See the attachment

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? %3D 60000 50000 40000…

A: We can easily read the end behaviour of the graph by just looking the x values and their…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

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Q: 3. Use the graph of y = f(x) to graph y = -f(x – 4) – 1. 3 y= f(x) -3/2-1 3 45

A: From the given function: y=f(x) It is plot the graph for y=-fx-4-1 from the given graph of f(x).…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given function is fx=2csc3x2 To find: The points of inflection and to determine concavity of the…

Q: Use the graph of y f(x) to graph the function g(x) = f(x + 2) – 1.

A: The dotted line in blue colour is the original graph. The red-lined graph is the transformed graph.…

Q: Use the graph of y = f(x) to graph the function g(x) = -f(2x)

A: Given graph of y=f(x):

Q: Find the function of the form f (x) = C a whose graph is given below where A is the point (-2, 25/3)…

A: The given curve is  f(x) =y= C ax Given point A( - 2, 25/3) and (0, 1/3) through which curve passes

Q: 2. Given the graph of the function:

A: Given :    Reciprocal graph is given .

Q: Given the sketch of the function y= f(x), sketch the graph of y+2= f(x- 5).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2,…

A: To determine the points on the graph of the function that are closest to the given point.

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

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Q: Use the graphs of f and g to sketch the graph of y = f(g(x)). а. b. 4 -4 4 -4 -4 2. 2.

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Q: 2 Graph the function g (x) =x+1 ?

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Q: The graph of y = f(x) is given. 6- 5 4 3 2 6-5-4-3 -2 -1 -3 -4 -6- 1 2 3 4 5 6 a

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Q: y = f(x), 하 4- 3- 2 -5 -4 -3 --1 45

A: Definition used -               Horizontal shift -             The graph of a function f(x)…

Q: Use the graph of y=f(x) to graph the given function. 4 y = f(x) -3 -2 -2- -3 -4- y=f(-x) 4. 3- 2-

A: Please see the below picture for detailed solution.

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

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Q: (a) Consider the following graph of a function y = f(x): 2 2 3 -2

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Q: 2 / Sketch the graph of function y = + 3x

A: We have to sketch the graph of the given function   The given function is   y=2x+3x

Q: Graph the function y = -f(r + 1) – 2, where the graph of y = f(r) is given below. y 5 3 y = f(x) -5…

A: Reflection over the x-axis.   -f (x) reflects f (x) over the x-axis Reflection over the y-axis.   f…

Q: How can the graph of function fg be obtained from the graphs of functions f and g?

A: To obtain a graph of fg from the graphs of f and g, it is necessary to multiply f and g. Then, we…

Q: Use the graph of y=f(x) to graph the given function. 4 3 2- -3 -2 -1 3 y= f(x) -1- -2- -3- ソ=f(-x) y…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 2)

A: Given: f(x)=x2 ,        0,2

Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: x < 0 6. Sketch the graph of f(x) = x2, x 20

A: Solution: The objective is to graph the given function

Q: y 8, f(x) -6-5-4-3-2–1 1 2 3 4 5 9 10 -2kb -3 Match the functions with its graph 1. a) y = - f(x-4)…

A: 1) a)  y= -f(x-4) y= f(x) ---&gt; y = -f(x) , the graph of y= f(x) will be reflected about x axis…

Q: 4. How are graphs of the functions obtained from the graph of ? (a) y=-f(x)          (b) y =2f(x)-1…

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Q: Sketch the graph of the function. y = e−x2

A: we have to sketch the graph of y=e-x2

Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

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Q: The graph of y = f(x) is shown below. Which point could be used to find f(0)? %3D 10 6. 8. 3 D -10-9…

A: Given: The graph of y = f(x) To find f(0) = ?