The graph of a function f is shown below. Find one value of x for which f(x) = -4 and find f(2). 4+ (a) One value of x for which f (x) = -4 : 1- | = 0 (b) f(2) -3 -2 -1 1 -1+ -2+ -3+

Q: Find all values of x such that f (x) > 0 and all x such that f (x) < 0, and sketch the graph…

A: Given, fx=x3-3x2-9x+27

Q: The graph of the function f(x) = 3x – x* + 5x? – 2x – 7 will behave like the graph of for large…

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Q: Use the graph of f(x) = 3√ x to obtain the graph of g(x) = -3√x.

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Q: 5 -6pi 6p -5

A: From the graph, it is clear that the graph is a sine graph because, at x = 0, the sine value is…

Q: etch the graph of the function by making a table of f(x) = 3X %3D f(x) = 3x -4 -2 4

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Q: the graph of f(x)=√9-x2 is shown below. Sketch the following. a) y=2f(x-1)-2 b) y=-½f(2x)

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Q: Consider the graph of y = f(x), shown below. 4 -5 -4 -3 -2 -4 -5+ The domain is and the range is The…

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Q: Suppose that f (x) = 2x . (a) What is f(4)? What point is on the graph of f?(b) If f(x) = 1/16, what…

A: The given function is fx=2x

Q: The graph of the function f(x) = 3x4 - x3 + 5x2 - 2x - 7 resembles the graph of ________ for large…

A: The graph of the function f(x) = 3x4 - x3 + 5x2 - 2x - 7resembles the graph of ________ for large…

Q: The graph of f(x) is shown below. Find the graph of f'(x). -6 -5 -4 -3-2

A: Definition used -             Graph of f'(x) -           If the graph of f(x) is given and…

Q: Graph and fully describe the function f(x) = -x2 + 3. Graph value of x from -3 to 3.

A: Given equation is fx=-x2+3, -3≤x≤3.

Q: The function f(x) = 3 - 4x - 2x2 is shown on this graph. f(x) 6 + 2 그 What value of at corresponds…

A:

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: Draw the graph of f(x)=3x+5  Give the domain of f(x)=3x+5    Give the range of f(x)=3x+5

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Q: f (2) = x-x-6 x2 +5x+6 Which graphs shows the function

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Q: Find the domain of the function : g(x) =2/(x2 + x - 12)

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Q: Sketch the graph of f.

A: fx=3x-4 Since denominator is zero at x=4, therefore vertical asymptote is x=4. Since the degree of…

Q: graph the function:f(x)=-2 for x

A: Graph the function: f(x)=-2 for x

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: Find the maximum or minimum value of the function.

A: Given fx=3-x-12x2

Q: 3) Graph the function -x x 2

A: fx=-x          x≤-2x+2   -2<x<24-x        x>2

Q: draw the graph of f(x+1) draw the graph of f(x)-3  Draw the graph of g(x)=f(-x)

A: In the question it is asked to draw graphs as given in question.

Q: Use a graphing utility to graph f(x) = (x2 - 4x + 3)/(x - 2), and g(x) = (x2 - 5x + 6)/(x - 2). What…

A: Given: f(x)=x2-4x+3x-2 g(x)=x2-5x+3x-2 To find: The graph of f and g and also  differences between…

Q: On a piece of graph paper, draw the graph of the function y = -1/2 x + 1. What is the domain of the…

A: (A) Drawing graphSince, our curve is equation of line so, we can find two points and then join them…

Q: b) Sketch the graphs of the function f (x) =6-x

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Q: The graph of f(x) is shown in red. Draw the graph of g(x)=3f(x). How to graph?

A: Given,   graph of f(x):

Q: Graph the function g(x) by transforming the graph of a basic function, f(x). g(x)= 3/((5x-15)^2)-6…

A: Let given function be f(x)If it transformed by +a unit in x-direction, then transformed function,…

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Sketch the graph of f.

A: Consider the given function. fx=x-2x2-x-6 Find, the factor of the denominator.…

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Graph F(x) = -(x + 1)(x – 1)^2(x – 2) by doing the following. Plot all the points where the graph…

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Q: x2-5x-14 5. Graph function of f (x) = X-4

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Q: The graph of f(x) is shown; it goes through the point (1, 4). (1, 4) -5 -4 -3 -2 8 9 16

A: Definition used-    Horizontal compression - If the graph compress horizontally by a factor b…

Q: Consider the graph of the functions f(x)=(x−5)² and g(x)=−3x+13. What are the points at which…

A:

Q: The graphs of f(x) and g(x) are shown. For what values of x does f(x) = g(x)? x = -2, x = 0, x = 3…

A: We have to choose correct option

Q: -k/complete-a-table-and-graph-a-linear-function f(x) = 4x + 2 f(x)

A: f(x)=4x+2 at x=0 f(0)=4x0+2=0+2=2 f(1)=4x1+2=4+2=6 f(2)=4x2+2=8+2=10

Q: Find the domain of the function. 8 f(x) =- X-14

A: Our Aim is to find domain of f(x)=8/(x-14).

Q: Find the domain of the function : g(x) = √(x-3) / x-6

A: Given: gx=x-3x-6 To determine: Domain of the given function.

Q: The graph of the function ) = /x+4 is shown below. The domain of the function is 1) trx> 0} 2) xx2…

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Q: (x) = (x + 4)(x − 2)^2 Determine the end behavior of the graph of the function

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Q: Find the domain of the function : g(x) = 4 / x - 7

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Q: Find the maximum or minimum value of the function. f(x) = 5 – 6x – x? Is this a maximum or minimum…

A: To find The maximum and minimum value of f(x) f(x)=5-6x-x^2

Q: The graph of the function is a translation of the graph of f(x) = x². Graph the function. g(x) = (x…

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Q: Determine the end behavior of the graph of the function: f(x) = -3xˆ6 -2xˆ4 -xˆ3 + 9

A: Refer to the question , we have to find the end behaviour of the graph of the provided function.

Q: Find the domain of the function g(x) = (x - 6)/(x2 - 36).

A: We have to find the domain of the function g(x)=x-6x2-36.

Q: Choose the graph of the function g(x) = (1/3)^x-3

A: Graph of function gx=13x-3

Q: Find the graph of f(x)=x^2+1/

A: To graph the function

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.