Use the graphs of f and g to evaluate the functions. y f(x) y g(x) 3- 2- 2 3 4 (a) (f – g)(1) (b) (fg)(2) Need Help? Watch It Read It

Q: Sketch the graph of f′. Explain how you found your answer.

A: The given graph is a semicircle with radius 2, so the equation is y=√4-x². The slope of the graph is…

Q: (2,5)

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Which statement about the function f(x)=-x2 is true? A The function is odd. B The domain of the…

A: Domain of function f(x) is the set of value of x for which f(x) is defined. Range is value the…

Q: Find the domain of the function f(x) = What is the only value of x not in the domain? 8x +2 Only…

A: The given function is fx=18x+2. The above function is a rational function of the form fx=pxqx. We…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,4)…

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Q: poking at the parent function of f(x) = |æ| how would the graph of g(x) =-4f(x)+3 be different?…

A: Given:fx=xgx=-4 fx+3gx=-4x+3x=-2   ,  gx=-4-2+3   = -42+3 =-8+3 =-5x=-1   ,  gx=-4-1+3   =-41+3…

Q: Let f(x) = 1/(1 − x). (a) Find the domain and range of f. (b) Find f( f(x)). What is the domain of…

A: Here given as fx=11-x Domain = -∞, 1∪1, ∞ Range = -∞, 0∪0, ∞

Q: (d) Describe End Behavior of the f(x). (e) Sketch the graph of the function f (x) =…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: x² +1 6. Use the guidelines to sketch the graph of the function f(x) =- x -4 a) Domain b)…

A: Sicne you are asking multiple subprts. We are solving only the  The function fx=x2+1x2-4. We have to…

Q: The accompanying figure shows the graph of a function g(t) domain [-2, 0] and range [-4, 0]. Find…

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Q: F(x) = (x+1)2 (x-3)2   The graph of f behaves like y = for large values of |x|

A: Given : F(x) = (x+1)2 (x-3)2 for larger values of |x|, we can ignore the constants in each factor.

Q: %3D Use the graph of y = f(x) to graph the function g(x) = f(x) – 3. y = f(x) Ay 6- 4- up 2-

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Q: Using the graph of f(x) = graph each function. 20. g(x) = x² – 2

A: To draw the graph of g(x)=x²-2

Q: Consider the graph of f (x) = x- 2 +11. Make one change in the equation of f(x) so that the graph:…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post another…

Q: x- 5 Draw the graph of f(x)

A: We need to plot the following function.

Q: The graph of the function f(x) is shown below. State the domain, range and y- intercept for g(x) =…

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

A: Given graph:-       To find:- What is its domain? Consider the graph of f. What is the value of…

Q: Use the graph of y f(x) to graph the function g(x) = f(x- 3) - 4. Choose the correct graph of g…

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Q: b) The graph of f(x)is shown on the grid below. Sketch a graph of f(2x) on the same set of axes.

A: We will sketch the graph of f(2x) as following

Q: Graph the function. 14) Use the graph of f(x) = 3x to obtain the graph of g(x) = 3× – 1. %3D +++ 6 x…

A: To Graph y=f(x)-d , shift the graph y=f(x) down by 'd' units by subtracting 'd' to the y-coordinates…

Q: Find the description and graph for the function. g (x) = Va-3+2 Description:

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Q: ing the parrent function f(x)=x2 and transformations, explain how g(x)= -x2-1 and h(x)=-(x2+1) have…

A: Given :   f(x) = x2

Q: Find the x- and y-intercepts of the graph of the function f(x)=−3|x−5|+3.   Enter your answers as…

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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: Graph the function. f(x) = /x+I+1 Plot four points on the graph of the function: the leftmost point…

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Q: 3. The path of a ball is modeled by the function f(x) = -x + 3x +5, where f(x) is the height (in…

A: To find the maximum height of the ball

Q: Examine the graph. What is the value of h given the function f(x)= |x+h| +k

A: Given:

Q: Graph of f(x) = x' is shown below. Describe the followings. a). intercepts b), domain c).range

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Let f(x) = x ² . The table below shows the behavior of the values of f(x) as x approaches 3 from the…

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Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g.…

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Q: For Exercise, the graph of y = f(x) is given. Graph the indicated function. Graph y = f(-x) + 3. y =…

A: y=f(-x)+3 means y=f(x) reflected over the y axis and moved 3 units up. So the new x will be -x and…

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: What is the symmetry of the function? f(x)=6x/x^2-4 Origin symmetry Y-axis symmetry neither…

A: Note that  (1)   The function f(x) is said to be origin symmetry if  f(-x)= - f(x) (2)   The…

Q: How do I solve graphs and functions? The question asks for the domain, range, x-intercepts, y-…

A: For a given function f, the graph is the collection of all points (x, y) on the plane that satisfies…

Q: f(x)-(x+-5)2+8 1. On your work paper, create a table of values for f(-2), f(-1), f(0), ff1), and…

A: f(x)=(x+5)2+8 Given function f(x)=(x+5)2+8 f(-2)=(-2+5)2+8 f(-2)=(3)2+8=6+8=14…

Q: If you are given the graph of f, how do you find the graph of f-12 (a) Reflect it over the x-axis.…

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Q: Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c.…

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Q: Write the function rule for the function shown below reflected in the given axis. f(x) = - 6x;…

A: The given function: f(x) = -6x; y-axis   It is given that g(x) be the reflection of f(x) in the…

Q: 2a4 + 15x3 + 41x² + 48x + 20 2. For the function f(x) = %3D 3x4 – 17x3 + 19x2 + 21a - 18 (b) sketch…

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Q: Can you help me find the horizontal intercept, vertical intercept, range, and help me sketch a graph…

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Q: The functions f(x) and g(x) are shown on the graph.

A: Follow the procedure given below.

Q: (a) Sketch the graph of the function f(x) = x'. (b) Use part (a) to graph the function g(x) = (x –…

A: Explanation: To graph the given function f(x)=x3   Firstly we will make a x-y table. x y -3 -27…

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: A baseball team plays in a stadium that holds 54,000 spectators. With the ticket price at $10, the…

A: Given, Capacity of the stadium =  54,000 spectators  ticket price = $ 10  When ticket price at $10,…

Q: The function f(x) = 3.1 Vx + 19 models the median height, f(x), in inches, of girls who are x months…

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Q: 1. g(x) = 4x? %3D y

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Q: g(x) = 2· f(x) - 2. The graph of f is given.

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Q: The graph above shows the function f(x). The graph below shows g(x).

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Q: Graph the function. f(x) =x? Plot five points on the graph of the function: one point with x=0, two…

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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.