Given the following graph of two functions, find (f • g)(4).

Q: When f(x)→b as x→±∞, y = b is a ________ ________ of the graph of f.

A: Here we have to fill the following blank,  When f(x)→b as x→±∞, y = b is a ________ ________ of the…

Q: Q4:- Sketch the following functions showing the detailed steps in different graph= e) f(x) = l1 – -

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Q: I. Sketch the graph of the following 1. f(x) = 22r-1 2. g(x) = A

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Q: Sketch the graphs of the following function.   y = ex-1

A: Given: The function y=ex-1 . For different values of x∈R, the y values can be tabulated as, x…

Q: Select one of the following four sketches that describes the end behavior of the graph of the given…

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Q: Match the functions below with their graphs (A)-(F). (A) (B) (C) (D) (E) (F)

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Q: Sketch the graphs of the following function y = 1/x + 1/4x

A: Given function: y=1x+14x

Q: Given the graphs of f(x) and g(x) below, find f(g(2))

A: from the graph g(2)=5

Q: Graph the following function using the vertex and axis of symmetry. f(x) = (x + 7)2 Use the graphing…

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Q: Based on the following graph, find f(2):

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Q: 6 Select the correct graph of the function f(x)= x+4:

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Q: Given the following graph of two functions, find (f • g)(-1). -2 -4

A: From the graph g(-1)=2

Q: For Exercise, graph the equation. Slx| + 1 for x 1 уз

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Q: For the function g whose graph is given, state the following. To type oo or -0o, enter INFINITY or…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: Use the graph of the given function f(x) to find the value. 1(3) 1(3) =O

A: Given graph,

Q: Given the graphs of f(x) and g(x) below, determine the value of the expressions below. y = f(x) y =…

A: Given that:

Q: Sketch the graphs of the following function y = 12/x + 3x + 1

A: we have to sketch the graphs of the following function y = 12/x + 3x + 1

Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function

Q: For f(x) shown below, which of the following graphs is f "(x)?

A: If you see curve question1you will observe that curve is concave down for some interval(0,0.60) and…

Q: Sketch the graphs of the following function y = 2/x

A: Given: y=2x Substitute 2 for x to determine the value of y. y=22=1 Substitute -2 for x to…

Q: The graph of f(x) = x2_______ to the left and_______ to the right.

A: The graph of f(x) = x2_______ to the left and_______ to the right.

Q: Graph g(x), where f(x) = 3x − 1 and g(x) = f(x + 1).

A:

Q: Given the following graph of two functions, find (f • g)(– 2). Enable Zoom/Pan -2

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Q: Use the graph of y f(x) to graph the function g(x) = f(x + 2) – 1.

A: The dotted line in blue colour is the original graph. The red-lined graph is the transformed graph.…

Q: Given the graphs of f(x) and g (x) below, find the composition of functions f(g(2))

A: Given,            The graphs of f(x) and g (x) shown below:

Q: Given the graphs of f(x) and g(x) below, find the composition of functions f(g(4))

A: From the graph we can see that g(4)=-1 and f(-1)=2 . So, f(g(4))=f(-1)=2 Hence, f(g(4))=2

Q: 2. Given the graph of the function:

A: Given :    Reciprocal graph is given .

Q: For the function f(x) whose graph is shown, what is the value of f(4)?

A:

Q: The following is the graph of a function f(x).

A: Given that: Graph of f(x)

Q: Q3:- Sketch the following functions showing the detailed steps in different graphs: d) f(x) = 1 -

A: The given function can be modified as shown below: y=f(x)=1-1x2    ⇒    y=x2-1x2

Q: S(x)

A: Topic:- function

Q: Use translations to graph the given function. h (x)=/x+3

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3-2- 1 2 3 4 5 6

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Q: Consider the following function. f(x) = [[x – 4 ]] Graph the function.

A: A function is discontinus at a point if if break

Q: Which of the following is a graph of the function f(x)= 2 − 2x and its inverse, with the line y=x ?

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Q: Below is the parent function f (x) = |x|. Which of the following is the graph of f (x) = |x + 3| – 2…

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Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

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Q: Use the graph to enter an equation for f(t).

A: In this problem, we have to find the path equation f(t) by using the given point and given equation…

Q: Given the graph of f(x) shown below, find f '(0). f(x)

A: Solve the following for the given graph

Q: Use the graph of y f(x) shown to the right to graph the following function g. 9(x)= -1 -2

A: In the graph of f(x)  x -2 0 2 f(x) 4 4 4

Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

A:

Q: Let f(x) be the function graphed below. Solve: (a) f(x) > 0

A: From the given Graph of f(x) , We can conclude that- Graph is sketched on the interval (-8,9), So…

Q: Sketch the graph of the following fu f(x) = (x + 3)4 he correct graph below OC.

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Q: The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been stretched somewhat…

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Q: 3) Use the following information to sketch the graph of the function, y = f(x)

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Q: Given the graph of y = f(x) below, what is the range of y = f(x) – 2?

A: The graph of y=fx is given. We have to determine the range of y=fx-2

Q: Given the parent function f(x) = 2x, what graph shows f(x) + 1?   Just show what the graph would…

A: The parent function given:                                        f(x)=2x   Graphing :…

Q: Find the slope of the following function at x=1 and x=-2. f(x)= -2x^3+1/x-3

A: Given function is fx=-2x3+1x-3. To find the slope of the given function at x=1 and x=-2. Solution:…

Q: Make the graph for the following: 1. y=x3-2x+3 2. f(x)= (x-1)/(x2-x-1)

A: Given the function

Q: = x² + y²

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.