Use the graphs of f and g to evaluate g(f(2)) y (2,4) (4,3) (-2,1) If + (2,-2) 00 01

Q: Use transformations of the graph of f(x) = x to determine the r(x) = (x- 2)3 +2

A: The graph of f(x) = x^3 is:

Q: Let f (x, y) = 1 5+√x²+y²-1 Then range of f is:

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Q: Draw the graph of the function f :R → R defined by f (x) = x3, x∈R.

A: We will make a table for f(x)=x3 x -1 0 1 y -1 0 1

Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: SKetch graph : f(x) (2-x if xI

A: For  x<-1f(x)=2-xat x=-2   y=f(x)=4at x=-3   y=f(x)=5 Plot this line on graph

Q: 3. Let f(x) = In (5x² + 2x). %3D Graph both f (x) and f'(x) with your graphing technology. Find…

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Q: Select the graph of the function f (x)= -x2. Then find the value of f (x) whenx =-3. 10 10 6| 6. 4 4…

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Q: Find the domain of the function. h) - 5) X - A) {x|x 0}, or (0, -) B) {x|x 1), or (-, 1) u (1, ) D)…

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Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = 5 - x,    g(x) = x2 - 3x

A: Given, f(x)=5-x  and g(x)=x2-3x To find  f+g, f-g, fg, f/g.

Q: Sketch the graph of the piecewise function q(X) using Xy-charts. x+ 3 if x 1.

A: Solution -  We have been q(x) in three forms depending on the domains- q(x)=x+3 ,         if…

Q: Consider the function f (z) =-1(z+3)-2 shown in the graph below. %3D

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Q: Use the graph of f'(x) to identify the graph of f (x). 10 8 6. 4 2 -4 -3 1 2 3 5 -2 -4 -6- -8- -10+

A: Consider the graph of f'(x), the x intercepts on the graph of f'(x) is at x=-1.25  and 0.5…

Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

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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: A function fis defined by Sx. x<-2 g(x) = bx, x z -2 bx².

A: It is evident that we need to find the value of b if g(x) is continuous. Now,…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x, g(x) = 2x

A: The given functions are: f(x) = x, g(x) = 2x The sum of these functions is given by: f(x)+g(x)=…

Q: Find f + g, f - g, fg, and f/g and their domains. f(x) = x,       g(x) = √x

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x&gt;2 , y is fixex at 3  For -1&lt;x≤2 , y=x  For this, we make a…

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: Sketch the graph of f (x) = x |x|. Then show that f'(0) exists.

A: If f(x) is a continuous function, then derivative of the function at point a exits if and only if…

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1&lt;x2 then fx1&gt;fx2 claim- is it decreasing or increasing

Q: Describe the transformations necessary to transform the graph of f(x) into that of g(x). 1) f(x) = V…

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Q: What is g(x)

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Q: Let f(x) be an EVEN function. If the point (2, 3) belongs to f, then another point likely to belong…

A: Let f(x) be an EVEN function.

Q: Sketch a graph of f(x) = {0-0.5z + 1 if z>1 if x < 1 8 7 6 5 4 3 2 1 2 3 4 5 6 7 8 7 -8 -7 -6 -5 -4…

A: Consider the function  f(x)=0.5x-4             if x&lt;1-0.5x+1          if x&gt;1

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x&gt; - 1   means f(x) is concave up on both sides of x=-1

Q: Which is the graph of the function f (x) = 4Vx 2 - %3D 10 21 -21 10 -10-8 6 -2 10 -10-86 -10 10 8.…

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Q: Use transformations of f(x) = x to graph th g(x) = 2(x+ 4)² + 1

A: Given that, f(x) = x2 We have to find the graph of the the function g(x) = 2(x + 4)2 + 1 with the…

Q: Sketch a graph of: f(x) = 2|x – 1|- 4 5+ 2 -4 -3 -2 -1 -1 I 2 -5 3 4 -2 -3- -4 -5+ Clear All Draw:…

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Q: Describe the long run behavior of f(x) = – x² - As x → – ∞, f(x) → ? V - As x → ∞, f(x) → (? V

A: Describe the long run behavior of f(x)=-x5As x→-∞, f(x)→?As x→∞, f(x)→?

Q: Select the choice that is a graph of the function a +3 f(x) = - 2- ( + 5)(*- 7) -17-11-10 -9 3 -7 -6…

A: Please see the explanation below

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

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Q: Sketch a graph, f such that f(-2)=4, f(3)=-2, f'(-2)=0, f'(3)=0, f'(x)&gt;0 on (-infinity, 2) and…

A: Given that

Q: 2A.6A: analyze the effect on the graphs of f(x) = x, when f(x) is replaced by af(x), f(bx), f(x -…

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Q: Use transformations of f(x) = to graph g(x) = (x+ 3)?

A: topic - transformation

Q: x²+4 Let: f(x)= - 16x f'(x) = - f"(x)= 16(3x2+4) x² –4° (x²–4)² ' (x² –4)° 5. Sketch the graph of f,…

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Q: Sketch a graph of the piecewise defined function. if Jx| s1 l1 if ]x| > 1 A(x) = y 2 2 2 -4 -2 -2 y…

A: Sketch the graph of given function

Q: - Use the graph of the functionf to find all the values of x such that f(x)=2 %3D 本y 10- 8- 6- f(x)…

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Q: Sketch a graph of the piecewise defined function.

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Q: Use the graph of the function f to find f (0). > 5 3 -5 -4 -3 -2 -1 1 3 4 -1- -2 -3- -5 5, 2. 4.

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Q: If f : [0, 3] → R is continuous, must its range be a closed interval?  use the continuous map

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Q: Evaluate f''(c) at the point. f(x) = (x2 - 5)(x3- 5), c = 1

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Q: Use the graphs of f and g to evaluate the composite function. (fo g)-7) Ay 10 y=f(x) 8- 6 2- X…

A: Given,

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

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Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3,…

A: Graph of f' on the interval -3,2 is given.f'&lt;0 for -3,-2f'&gt;0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: 1 Sketch a graph of f(x) = %3D 2 +1 4- 3- 2- -5 -4 -3 -2 -1 3. 4 5 -2+ -3 -4 -5+ Clear All Draw: on…

A: for given value of 'x' , find f(x) and draw the graph.

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.