The graph shows g(x), which is a translation of f(x) = |x|. Write the function rule for g(x). 10 -10 hl K where a, h, and k are integers.or simplified Write your answer in the form alx fractions. 8.

Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: Find the points on the graph of the function that are closest to the given po f(x) = x2 – 9, (0, -5)…

A: Put first derivative of distance =0

Q: -3 -2 101 5- -10- -f(x) 2 f(x) f(x) - 4 f(x) T ƒ(2x − 1) - 1 ƒ(2x) f(x + 1) f(x) + 4 f(-2x) f(x) -…

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Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: /(x) = x -…

A: Given function is : fx=x4-x3 To find point of inflection f''x is zero Differentiating the above…

Q: 3. For the given function below, find 2x* - 3x3 - 21x? — 2х+ 24 y : 2x* -7x3 —11х? +22х +24 E.…

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Q: 9. The graph of f “(x) is given below. When is the function f(x) concave down? 4 3 1 5 -1 -2 -3

A: To find the correct option

Q: iven the graph of f(x) below, identify the graph of f'(). 4 22-. 6+5434211 2 3 4 5 6

A: From the given graph identify the function of the graph.Observe that it is an inverted parabola, so…

Q: The function f is defined as follows. f(x) = -5x²-9 If the graph of f is translated vertically…

A: We will apply standard procedure.

Q: Which statement best describes the effects on the graph of f(x) = Inx when f(x) Is replaced by…

A: Given a graph  of the function : f(x)=ln x It is replaced by the function : -5 f(x+4)-7 We need to…

Q: Describe the concavity of the function f(x) = -a - a? O The graph is concave down for x - O The…

A: Option (b) is correct f(x) is concave up for x< -1/2 and concave down for x> -1/2

Q: Consider the following R2→ R function: d) Find and graph the interior, the boundary and the closure…

A: Given function f:ℝ2→ℝ is defined by  fx,y=9-x2-y2 The function is defined for all x,y∈ℝ2 such that…

Q: Use transformations of the graph of f(x) = x to determine the graph of the given 本y 10- function.…

A: Topic = Functions

Q: 1. Given the function h(r) = V +2, we say the domain of this function is |-2, o0). In your own…

A: hx =x+2 Domain : [-2,∞) a) x=-2  We know that domain is the set of all values of x for which…

Q: 40 for the function below, the domain and the range is respectively y=√16-x²

A: Given problem:- for the function below, the domain and the range is respectively   y = √(16 - x2)

Q: 2. Given the graph below of a function f. 81 6- 4- Find the values of x, for which f'(x) = 0 f'(x) >…

A: The graph of the function is given.

Q: 3 3 For the functions f(x) and g(x) ==+4, find f(g(x)) and g(f(x)), %3! х — 4

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Q: Use the graphs for f(x) and g(x) to evaluate the expressions below. Write your answer as an intege.…

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Q: Use transformations of the graph of f(x) = x° to determine the graph of the given Ay 10 function.…

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Q: Let f(x) = Vx + 3 and g(x) = |x – 3|+2. Let h be a function with the following properties: the…

A: Given function: fx=x+3gx=x-3+2 h be a function with the following properties: The domain of h is…

Q: Which statement best describes the effects on the graph of f(x) = 2 when f(x) is replaced by -2f(x +…

A: Concept: Given function translation is: fx→-2fx+3-5 Here, f(x+3) determines that the graph of the…

Q: Which of the following statements about the function y=a(k(x-d))x+c is not true?         The value…

A: The given function is: y=akx-dn+c Which of the following statement about the function is not true.

Q: 3. The graph of the function y = f(x) is shown. ( y=x - 2x-3 Which of the following corresponds to…

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Q: Which statement is true about the graphs of f (x)= 3x +1 and g (x)= 3 ? Functions f and g have the…

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Q: 4. Algebraically determine whether the function below is even, odd, or neither. f(w) =10w3

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Q: 1. Sketch the graph below. Then find x such that f(x) - o. x)= 10 10 10

A: The given piecewise function is

Q: 10 4 2 4 2 -6 -4 6. 6 810 -4 -6 -8

A: The function intersects the x-axis at 4 points. Mark the zeros for the given curve. As the function…

Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x2? g(2) =…

A: Given: Function is f(x)=x2 After transformation g(x)=-65x2

Q: . Il the function h(x) is defined as vertical stretch by a factor of 2 followed by a reflection in…

A: Please refer to the image below

Q: 10. The basic function y x1, write a rule y = f(x) that would produce the graph below. 10 5 10 5 10…

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Q: Dertmine g(2.4) for the following function  g(x)=2[x+1]-4

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Q: Which statement explains the difference between the graphs of f(x) = x2 and g(x) = -(x2 - 2)? The…

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Q: 3. Use the graph below to evaluate: f(-3) = f(-2) = %3D f(-1) = For what x( s) does f (x) =1,…

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Q: 2. Use the graphs below to approximate (f og)'(3). (Don't try to come up with formulas for f and…

A: Given that:                 NOTE: As per our answering guidelines, we can only answer 1 question or…

Q: Which statement best describes the effects on the graph of (x) = Inx when f(x) is replaced by -51(x…

A: To determine how the transformation performed from fx=lnx to -5fx+4-7

Q: Determine whether the x-values are differentiable at the given graph below. Write your answer on a…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: Is the function a power function? If so, write it in the form f(x)=kxp. If not, enter NA in the…

A: According to the given information the given function is:

Q: Determine whether the following function has a maximum, a minimum, or neither. If it has either a…

A: Given        fx=-x2-6x-5

Q: 10 3 -10 etermine the limits of the given function as x approaches

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Q: The graph of / (in blue) is translated a whole number of units horizontally and vertically to obtain…

A: to shift graph horizontally to shift left a is positive,  to shift right a is negative    to shift…

Q: me functioh g is defined as follows. g (x) = 5x +4 If the graph of g is translated vertically upward…

A: If a function f(x) has a graph then if the graph is vertically shift h units the function becomes…

Q: Analyze the graph of the function f (x) 2 a+9|+12 compared to the graph of the absolute value…

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Which statement best describes the effects on the graph of f(x) = 2 when f(x) is replaced by -2f(x…

A: Given: The graph of f(x) = 2x is replaced by -2f(x+3) -5. To find: From the given statements which…

Q: Q.3 Sketch the graph of f(x)=x+÷, Using graph of f sketch the graph of y= f(x)-1 y=f(x-1),y=f(2x)…

A: Consider the function  fx=x+1x   Graph fx=x+1x

Q: 4. Compare the functions f(x) = 25x2 and g(x) = 8%. F(x) = 25x² %3D g(x) = 8x -1 25 0.125 1 2 3 4…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine whether the following function has a maximum, a minimum, or neither. If it has either a…

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Q: Select the statement that explains one differences between the graphs of f (x) = 5x? and 9 (x) =…

A: Graph

Q: 2. Let f be the function whose graph is given c) 31 2+ d' 1+ -2 -1 0 -14 -5 -4 4 -2 34 Yilgmiz f -4…

A: write the equation of the tangent line to the graph of f(x) at x=0.

Q: A function is shown below. h(x) = x - 15 20 - 3x2 for x s-4 for x > -4 What is the value of h(-4) +…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.