Write the function rule for the function shown below reflected in the given axis. f(x) = - 6x; y-axis Let g(x) be the reflection of f(x) in the y-axis. What is the function rule for g(X)? g(x) = Enter your answer in the answer box.

Q: Use the graph of y = f (x) below to graph the function y = -3f (x – 3).

A:

Q: Use the graph y=f(x) to graph the given function. 8- y = f(x) 64 4- 2- -> -8 -6 -4 -2 6. -2 -4.+ -6…

A: We will use the given graph of function y=fx to obtain the graph of the function y=fx6.

Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: Find the domain and range of the function y=-2/3sin1/3(x-3π/4)+2

A: Consider the given: Find the domain:y=−23sin 13x−3π 4+2y=−23sin x3−π 4+2The function has no…

Q: If g(x) = VF(x), where the graph of f is shown, evaluate g'(3). %3D

A:

Q: find the domain and Range for the functions FCx) from the graph below! y, 3 -2 • 3 1

A:

Q: Use the graph of y = f(x) to graph the function g(x) = 2f y = f(x) 42 6.

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Q: 22) y=f(x-1)+2 6 6

A:

Q: DEtermine whether the function below is symmetric with respect to the x-axis, and or the origin,…

A:

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 graph of y = f(x) to graph the function g(x) = f(x- 1) +4. Choose the correct graph of g…

A: Vertical Shifts : Let k>0. Compared with the graph of y=f(x), the graph of y=f(x)+k is shifted…

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

A:

Q: The following rules define a function except for one. What is it? A. y = x2 – 10 B. y = 2x2 C. y =…

A: Given rules are: A. y=x2-10B. y=2x2C. y=2x-1D. y2=3x+1

Q: Graph of the function f(x) = x+a/ x^2 + bx +4 is shown below. What are a and b?

A: Answer

Q: Graph the function y= -f(x+1) - 2, where the graph of y f(x] is given below. 2 y = f(x) 2 345 2 543…

A: So In this we are going to use graph shifting rules and so I'm providing hand written solution for…

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

A: Graphical problem

Q: Graph the function by using its properties.   f(x) = x2 − 4x + 3

A: First we find the domain, axis of intercepts, vertex and range of the function. By using this we…

Q: For Exercise, use the graph of y = f(x) to graph the given function. -y = f(x)- y = 2f(x – 3) +1

A: y=2f(x-3)+1 means f(x) moved 3 units to the right, 1 unit up and stretched by 2 vertically.  We will…

Q: The function f is given by f (x) = (x +3)² – 1. 1. Choose the coordinates of the vertex of the graph…

A: I have given the solution in step 2.

Q: Find and sketch the domain for the function

A:

Q: Find the x- and y-intercepts for the function.   f(x)=x+9/x^2+4   Enter your answers as points,…

A:

Q: Consider the function, f(x) = x³ + x² – 9x – 9. (a) Graph the function. (b) What are the x- and…

A: Given,  f(x)=x3+x2-9x-9.

Q: For the function f(x) = -2x + find: %3D (a) f(-1) (b) x intercept (c) y intercept (d) Is the…

A:

Q: Use transformations of the graph of y =x4 or y =x to graph the function. 28) f(x) = x- 4)4 + 2

A:

Q: On the axes below, sketch a possible function p(x) = (x-a)(x-b)(x+ c), where a, b, and c are…

A: This is a graph problem

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: y y = f(x) 8

A:

Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

A: We have to find the domain of the given function

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

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

Q: the function with the coordinate

A: Given,           f(x)=5x-6

Q: %3D Let X be the graph of f(x) = x2/3 given below

A: Follow the steps.

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: For Exercise, use the graph of y = f(x) to graph the given function. -y = f(x)- -5-4-3 y = f(x + 2)…

A: means y=f(x) moved 2 units to left, 3 units down and shrank by 1/2 vertically.  So the new x will be…

Q: Draw the function of y = x 2 / 3 + x2

A:

Q: Jse the graph of y = f(x) to graph the function g(x) = f(x - 1) – 4.

A: y=f(x) +C C > 0 moves f(x) up C < 0 moves f(x) down y=f(x+c) C > 0 moves f(x) left C…

Q: Given the function f(x) = x2, sketch a graph of y = f(x + 1) − 5

A:

Q: Use the graph of f(x) 5 %3D to sketch the graph of g. g(x) = %3D X-9 y 10 f(x)= 5 -4 -2 2 4 -5F 51X

A: As g(x) = f(x - 9)  So just shift the graph of f(x) right side by 9 unit.

Q: Calculate the values of x for which the function y = -3x? + 4x + 2 is strictly decreasing.

A:

Q: Find and sketch the domain for the function. f(x,y) = / (x? - 9) (y²- 25)

A: Given that: f(x, y)=(x2-9)(y2-25)

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 function g(x) = f(x- 2) -4. y = f(x) 8-

A: In general, for a function f(x), the transformation does the follows f(x+a) - shift the graph…

Q: f(x) =x/x+5 B. Find the points of inflection and discuss the concavity of the function

A: To find inflection point and interval of concavity for the function fx=xx+5

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: Find the slope of the graph of the function at the given point.                        f(x) = √(3x2…

A:

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

A: =>y=f(x)=2  =>g(x)=2f(x)=2×2=4

Q: Find the domain of the function.

A: Given: gt=3-t-2+t For gt to be a real valued function, 3-t≥0 and 2+t≥0 .3-t≥0 and 2+t≥0 .t≤3 and…

Q: The graph of y = f(x) is shown below. What is the graph of y f(x+ 1)- 2?

A: Given: y=fx+1-2

Q: Use the graph of f(x) = x2 to graph g(x) = (x + 3)2 + 1.

A: fx=x2 The graph is,

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.