2. The graph at the right is of a plecewise function f(x). Write definition of the function f(x). That Is, what are the equations represented in this piecewise function graph. f(x) =

Q: 2. Sketch the graph of the function below using the maximum and minimum function value. g(x) = 2 –…

A:

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

A: Given, f(x)=6-xx

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

A:

Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

Q: Which one is the graph of ​f(x)=x2​? What is its​ domain?

A:

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: I am having trouble finding the right points to graph this function.

A:

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

A:

Q: 10) Sketch the graph of the piecewise function below. (-x+31+5 x2 + 2 f(x) = x20 10

A:

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: snip

A: Given: y=4fx is differ from the graph y=f4x

Q: Consider the graph of the function f(x)=(x^2−4 )/ (x^2−12x+20.) Find the x-value of the removable…

A: The function f(x) will have a removal discontinuity at x = a when the function will have a finite…

Q: Graph the functions f(x) = 2x and g(x) = 2x – 3 in the same rectangular coordinate system. Select…

A: The graphs of the function f(x) = 2x and g(x) = 2x - 3 are as follows:     The green line…

Q: find the points of inflection and discuss theconcavity of the graph of the function. f(x)=-x^{3}+6…

A: Given: The function fx=-x3+6x2-5, To determine: The point of inflection and concavity of the graph…

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: Suppose that the graph of a function f is known. Explainhow the graph of y = f1x2 - 2 differs from…

A: How the graph of y = f1x2 - 2 differs from the graph of y = f1x2 - 22. The graph will be same but…

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

A: Given function: f(x)=xx+3

Q: 3. Provided the graph of a function f below. y = f(x) 12 10

A: Given the graph of a function

Q: Find the points of inflection and discuss the concavity of the graph of the function. g(x) = x√(x +…

A:

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: 1 3. Write the equation of the parent function f (x)= =, afte - down, and vertically stretched by 4.

A: Given: The parent function is f(x) =1x .

Q: The graph of f (x) = x² is horizontally stretched by a factor of 2, and then shifted to the left 4…

A: Given, fx=x2

Q: Explain why the function is discontinuous at the value of "a" given and draw the graph 2x-5x-3 si…

A:

Q: 2) f(x)= 2x x2+1

A: Sol:- Extreme Points of 2xx2+1First Derivative Test definitionSuppose that x=c is a critical point…

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

A: Given, f(x)=x+3x points follows f'(x)=0 is inflection point…

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

A:

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: 4 - Which of the following is FALSE for the graph of the function f(x) = xe"?

A:

Q: 9. Find the points of inflection and discuss the concavity of the graph of the function h(x) = x(x -…

A:

Q: 2. Given the graph of the function:

A: Given :    Reciprocal graph is given .

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 of the function g(x) contains the point 4, What point must be on the graph of y = 2 g(x…

A: When x = 4 for g(x) then the value we get is 1/2 So, for the new function in order to get the same…

Q: 3. Sketch the graph of the function: ーX if x<-2 fめ12 fx) if-2<x< 2 X-1 if 2ļ x

A:

Q: 3) Write the function whose graph is the graph of y = Vx, but is stretched vertically by a factor of…

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Q: Sketch the graph of the function. xs -4 x + 3, g(x) = 1x - 2, x > -4 2 10 -10 9 4 2 1 123 4 S74+ 10…

A:

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: 2. or For the graph of y = f(x) shown below, sketch the graph of y = = √√f(x). State the domain and…

A: A real valued function makes a defined relationship between two subsets of real number line. The…

Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x√(9 −…

A: The function is given as x9−x In order to find the inflection point and concavity, second derivative…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = (x +…

A: Our Aim is to find the points of inflection and discuss the concavity of the graph of the function…

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: Suppose that the graph of a function f is known. Explain how the graph of     y = 4f(x) differs from…

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Q: To obtain the graph of f(x) = (x – 3)3 +7, shift the graph of y = x³ to the right units and up…

A:

Q: Use the graph of y =f(x) to graph the given function. 4- -5 -2 3 -4 y = -f(x) 3. 2. 1.

A: Consider the figure y=fx, which is given below From the above figure, y=x+3 if −4&lt;x≤−12…

Q: 4. If the point (2,8) is on the graph o following functions? Explain your a) y = f(x – 2) b) y+3 =…

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Q: 3. Create a graph of the function: f(x) = 3 – x Ay 543 4.

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Q: х — 2 if x 2

A:

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.