Identify the function family to which f belongs. Then compare the graph of f to the graph of its parent function

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Sketch a graph of a function f with the following properties. f'0, for - 60 and f"> 0, for - 50 and…

A: Given that f'<0 and f''<0, for x<-6 So f(x) is concave down and decreasing for x<-6

Q: Let f be the function whose graph is given below -3 -2 -1 3 4. -1 -2 Note that f(0) = 1.25 and f(3)…

A: Let's find.

Q: Let f be the function whose graph is given below -3 -2 -1 Note that f(0) = 1.25 and f(3) = 1.25.

A: As we know that: The Graph increases if f'x>0. The graph decreases if f'x<0 The graph constant…

Q: Given the graph of the function f below, determine all possible inferences that can be made about f…

A: From the graph, we can see that the point x=1 is very special, since the value of f' is constant…

Q: Use the graph of the function f, shown in Figure ,to find (a) the domain of f,(b) the function…

A: From the graph it is clear that, (a) Since the x values are lying in between -1≤x≤5, the domain of y…

Q: use the definition of a one-to-one function to determine if the function is one-to-one. Recall that…

A: A function f is one-to-one if any one or both of the following conditions are satisfied:

Q: Draw the graph of f, and use it to determine whether the function is one-to-one. f(x) = x3 + x

A: Draw the graph of f, and use it to determine whether the function is one-to-one. f(x) = x3 + x A…

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: Vertical stretch factor = A Horizontal shift = B  Vertical shift = C

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: We know that the graphical transformation; (a). fx→afx, the graph stretching vertically by ''a''…

Q: Sketch the graph of a function that satisfies all of the given conditions. f '(0)  =  f '(2) =…

A: f'(0)=f'(2)=f'(4)=0 means x=0,2,4 are critical points. f'(x)>0 means f(x) is increasing…

Q: (g o f)(1) = %3D

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Q: Describe a function g(x) in terms of f(x) if the graph of gg is obtained by vertically stretching f…

A: Function obtained by stretching f by a factor of 4 will be 4f(x)Function obtained by shifting the…

Q: sketch a possible graph of a function f that satisfies the following conditions: i) f'(x) > 0 for x…

A: topic - functions

Q: Use the graph of f shown in the figure to sketch the graph of each function. (a) f(x + 3)…

A: Consider the given graph and take it as the source function as f(x). Using elementary…

Q: A function  f is defined by f(x) = { 1-x     , if x<=1            x^2    , if x>1 Evaluate…

A: The given function is fx=1-xif x≤1x2otherwise.   Note that 0 and 1 satisfies the condition x≤1.…

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Let g(x) be the function graphed below. (a) Identify the domain. (b) Identify the range.

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: Solve the following

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: Give query is to find the function g(x).

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: The function is gx=Afx+B+C. As the function is vertically stretched by a factor 8, then A=8.  As the…

Q: 1 x # 2 9(x) = { (x – 2)3 x = 2

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Q: Use the graph of f′ to sketch a graph of f and the graph of f ″

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: Given:f(x) function streched by factor of 9,then shifted to right by 4 units, and then upwards 7…

Q: When looking for f [g (x)] the function g is performed first, then f.

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: Here we have to describe a function g(x) in terms of f(x) if the graph of g is obtained by…

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: A function f has an inverse that is a function if there is no________ line that intersects the graph…

A: The given statement is "A function f has an inverse that is a function if there is no________ line…

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: first stretch the graph of f vertically by a factor of 2, so, f(x) becomes 2f(x). Now,  Shift the…

Q: Let f be the function shown in Figure. Find the domain and range of f.

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

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Use the graph of function f to answer the following questions. f -2 a. Determine the value of x such…

A: Given that a graph which is f(x) and x . And we get value of x if f(x)= -1 And some other value . We…

Q: Let f and g be functions, If the graph of g is obtained from the graph of f by translating the graph…

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Q: Below is the entire graph of function f. Graph f , the inverse of f.

A: To graph f-1, reflect the graph of f about the line y=x. The coordinates of vertices of the graph of…

Q: Draw the graph of f, and use it to determine whether the function is one-to-one. f(x) = x ⋅ |x|

A: Write the definition of a one-one function to check whether the function is one-one or not. A…

Q: Sketch the graph of the arbitrary function f such that

A: For all values of x < 4, the derivative of the function fx is greater than zero or positive. This…

Q: Use the following graph of f to describe the behavior of f State where f is positive, negative, zero…

A: Given: The graph of functionfx To determine: The value of x where the function is positive,…

Q: Use the given graph of f to find a number ô such that if 0< |x - 3| < ô then f(x) – 2| < 0.5. 2.5…

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Q: Draw the graph of f, and use it to determine whether the function is one-to-one. f(x) = x3 - x

A: Given function, f(x)=x3-x

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: The graph of f is shown. Graph f. f and f" on the same set of coordinate axes

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Q: The notation g ∘ f , called the______ of the function g with f , is defined by (g ∘ f )(x) =_______

A: We have to fill the blanks. The notation g ∘ f , called the______ of the function g with f , is…

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: We know that, the graphical transformation: 1). The transformation fx→afx can be obtained by…

Q: Use the given graph of the function f to determine if f (1) is positive or negative. 180 150- 120-…

A: Given,

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

A: Given: The graph of g(x) is stretched by vertically stretching f(x) by 4. Shifted to 7 units to the…