In Exercises 6-7, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. 6. f(x) = x², g(xr) = x? – 1 7. f(x) = |x|, g(x) = |x| + 2

Q: The graph of the function g(x) contains the point (6,15). What point must be on the graph of…

A: The exercise is concerned with modifying the given function and substitutions

Q: In Exercises 70-74, use the graph of y = f(x) to graph each function g. y 4 3 2- -4-2 23 4 3+ y =…

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. fx) g(x) Ax) +…

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Q: Find a so that the point (-1,2) is on the graph of f(x)= ax2 + 4.

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Q: 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x)- 1, what point is guaranteed to be on…

A: Given (-4,5) is located on the graph of f and g(x)= 3f(2x)-1  We want to find the guaranted point on…

Q: In Exercises 45-46, the domain of each piecewise function is (-*,0). a. Graph each function. b. Use…

A: Consider the piecewise function fx=5     if x≤-1-3  if x>-1. Note that, the domain of the…

Q: 3. Let Ax) = - 2 (x + 2)² (x – 1)'. Do not use your calculator until part e. a. List the…

A: Given that: f(x)=-12(x+2)2(x-1)3     NOTE: As per our answering guidelines, we can only answer 1…

Q: 1. Use the characteristics of the given function to graph the function and it's reciprocal on the…

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Q: 16. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

A: Rule for inverse function :- (x,y) →(y,x)

Q: In Exercises 5–10, find an appropriate graphing software viewing window for the given function and…

A: 5) Consider the function and draw the graph using "DESMOS" graphing software. The y-intercept of the…

Q: 8. Given the graph of f(x), sketch a plausible graph of f'(x). Provide an explanation for the graph…

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Q: Draw the graph of f(x) = – (x – 2)² + 3 below.

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Q: Use a graphing utility to graph x² - 5x + 6 x - 2 x? - 4x + 3 (x) = and g(x) x - 2 What differences…

A: Solution: Consider the given functions are; f(x) = x2-4x+3x-2 f(x) = x2-3x-x+3x-2 f(x) = x-3x-1x-2…

Q: 7. Sketch the graph g(x) = 3*+2

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Q: Which statement is true for the graph of f(x) = 2r – 6x2 – 48x + 24? O (4, –140) is a relative…

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Q: The functions f() and g(x) are graphed below. 51 -5 -4 3-2 A2 3 45 -2 2 -4 -51 2.

A: To determine: f+g2 f−g−2 fg0 fg−3

Q: In Exercises 31–34, graph the piecewise-defined functions. 3- x, 32. f(x) = 31 f(x) (2x, 1< x

A: From given function, (3-x) function is valid for X less than or equal to 1 and zero for X&gt;1 And…

Q: 3. Analyze the function f(x)=x°+2x* +8x' +16x² –9x–18. Follow the steps below; show a work for full…

A: Given: fx=x5+2x4+8x3+16x2-9x-18 we know that for given functionfx as x→±∞, tendency of fx depends on…

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

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Q: 5.) Sketch the graph. f(x) = x³ + x² – x +1 %3D

A: The graph of a polynomial of 3 degree has at most  2 turns and 3 intersections with the x-axis. If…

Q: Draw a graph of function a ド」 f(x) ニ 2, メ= -X +1, ×7 |

A: See attached file for a step by step explanation.

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 3000 2000 1000 -10 -8 -4…

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Q: 10. Graph the function. f(x) = -2(x- 4)(x + 2) %3D

A: Topic = Parabola

Q: In Exercises 33–38, a. Use the Leading Coefficient Test to determine the graph's end behavior. b.…

A: 33. Given  The equation is  fx=x3-x2-9x+9 .

Q: eatures of the function f(x) = 2 - 5 graphed below? 12 11 10 96 76 5432

A: The graph of the function f(x)=2x-5 is as shown.

Q: 56. Explain how the graph of f(x) = mx + b can be used to solve mx + b >0.

A: The graph of fx=mx+b is a straight line with slope m and y-intercept b.

Q: Sketch the graph of h and determine its domain and range if 3, x 0 x – 2

A: Graph is given below:-

Q: Find an equation for the graph sketched below 7- 4+ -5 -4 -3 -2 -7, 4 -2 -3 -4 -5 9- -7 f(x) = %3D

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Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

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Q: In Exercises 5–8, determine whether the graph of the function is symmetricabout the y-axis, the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: In Exercises 45–46, the domain of each piecewise function is (-*,). a. Graph each function. b. Use…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (*) The graph of the function g(æ) contains the point (6, What point must be on the graph of y = 5…

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Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: 16. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

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Q: The graph of the function g(x) contains the point (3,12). What point must be on the graph of…

A: Given that 3,12 is a point on the graph of y=gx. We have to identify the point on the graph of…

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

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Q: 5. The graphs of f(x) and g(x) are shown. What is g((4))? f(x)

A: Solution :    From given graph   f(4) =-2  ,  g(-2) =-4

Q: Explain how the graphs of g and h are obtained from the graph off. f(x) = x², g(x) = (x + 4)°,…

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Q: X Section 3.1 - The Definition of a Fun... Use the graph of f to determine the following. Enter…

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Q: sform the graph of f(x) into that of 7) flz) = |x| g(x) = 2|x +1|

A: Solution:-

Q: 8. If (-4,1) is located on the graph of f and g(x) = 3f (;x) + 1, what point must be on the %3D…

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Q: The graph of the function g(x) contains the point (8,12). What point must be on the graph of…

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Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] f(x)…

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

A: According to logarithm formula .

Q: True or false: The graph of f(x) = (x + 5)2 + 3 has its vertex at (5, 3)._______

A: For  f(x)=a(x-h)2+k, vertex is (h,k)

Q: Exercises 53-62. Use transforma- tions to explain how the graph of f can be found by using the graph…

A: Topic = Functions

Q: point

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Q: In Exercises, which of the graphs are graphs of functions of x, and which are not? Give reasons for…

A: We have given two graphs;

Q: Answer the question about the given function. 11) Given the function f(x) = -5x2 + 10x - 8, is the…

A: Given : fx = -5x2+10x-8