Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 1+x if x< - 2 f(x) = 4-x if x2 - 2 Choose the correct graph of f(x) below. OB. OC. O D. 10- Locate all points of discontinuity. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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

A: Given, f(x)= 9-4x⁴ Therefore, f'(x)= 0-4*4x³= -16x³ f"(x)= -16*3x²= -48x²

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Q: Let f(x) = 3|x| If g(x) is the graph of f(x) shifted right 1 units, write a formula for g(x) 9(x)=|

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Q: Let f(x) = 4/x. If g(x) is the graph of f(x) shifted down 3 units and left 3 units, write a formula…

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Q: Let f(x)=3√x If g(x)is the graph of f(x) shifted down 5 units, write a formula for g(x) g(x)=

A: Consider the given function: fx=3x Graph the function:

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: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: Identify the range of the function based on its graph found below. (A) (у\у 20 exсеpt - 1} ®{ylyz0}…

A: The graph of the function is givenWe have to find the range of the function.

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: Given the graph below, which of the following functions best describes its discontinuity? * (2,5) 5-…

A: Form the above given image we can clearly see that curve of the graph is not connected at x=2. Hence…

Q: Consider the following. y=, [2, 6] (a) Sketch the graph of the function, highlighting the part…

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Q: sketch the graphs and explain why the functions is discontinuous at the given number a:y= 1/x-1 if…

A: Given function isThe graph can be sketched by plotting few points and joining them using free hand…

Q: Let f(x)= x^4 If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x)

A: We have to write a formula for g(x) when f(x) shifted right 6 units.

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

A: Given function :

Q: Explain why g(x) = across the y-axis, or by shifting the graph of f one unit to the right and…

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

A: We use to draw the graph then do some observation on the curve

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A: Analyze the given graph to find the maximum and minimum speed limits Maximum speed limit is 50 mph…

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: determine at what point (s) the graphs of f (x)= 4/x+2 and g (x)=1/4-1/5(x+2) intersect.

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Q: left, right, upward, downward (a) How is the graph of y = f(x - 2) +1 obtained from the graph of f?…

A: Given (a) y=f(x-2)+1

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

Q: Let f(x)=2√x If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

A: To Determine: If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

Q: Suppose you want to graph f(x) = 3sec(2x) + 1. Which function would you want to graph first as a…

A: Given: Suppose we want to graph f(x) = 3sec(2x) + 1. To find: Which function would we want to graph…

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 of the following graphs represents the function below? (5, x 4 -2 <x<4

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Q: For the function g whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: Q3- Find the functions f,g s.t fog= (x + 1)5 Q4- Sketch the graph of the function f(x) = -x² – 1

A: We are given two questions The first is to find the functions f and g such that fog = (x+1)5 The…

Q: 2. Select all of the following graphs which represent y as a function of x. 1- 1- b 3- 1- -24 d. e

A: Using definition:-A function is a relation in whicheach input has only one output.⇒for each value of…

Q: Use the graph of y = f(x) to sketch the graph of f '(x). 3. 2- -37/2 /2 T/2 37/2 27 -1- -3. Draw: M…

A: Given data :

Q: Find the coordinates of points where the graph of f(x) = -x + 6x2 - 9x + 17 has horizontal tangents.…

A: topic - functions and derivatives

Q: Find the coordinates of points where the graph of f(x) = -x + 9x2 - 15x + 19 has horizontal…

A: Given curve is                                             f(x)=-x3+9x2-15x+19 we have to find…

Q: يرجی کتابة المعادلات في ورقة الاجابة قبل الحل Q1) If the radius of a circle is 16 cm, what angle in…

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Q: Let f(x) = 3/ If g(x) is the graph of f(x) shifted down 2 units and left 3 units, write a formula…

A: Given function is f(x)=3x We know that if graph of f(x) is shifted h units to the left and and k…

Q: Sketch the graph of the function f to determine the type of discontinuity at each x-value. x2 +2, if…

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Q: From the graph of f (x), state the value(s) of x at which f(x) is discontinuous and explain why. -3…

A: A function is discontinuous if there is a hole or any break in the graph of function, i.e. A…

Q: Use the given graph of the function J to determine the type of discontinuity at each x-value.

A: Here given the graph of function f as shown below

Q: For the function f whose graph is given, state the value of the given quantity if it exists. (If an…

A: The objective is to find the required values

Q: f(x) - 3x5 - 20 x3

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Q: Refer to the graph of the function and complete the statement. y =f(x) Part 1 of 10 (a) As X-- co0,f…

A: Given query is to read the graph and find the indicated limit.

Q: 2 10 ) lim fex} b) lim flx) C) f(6) 6, 2.

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Q: نقطتان )2] For the graph, determine where .5 * .the function is discontinuous

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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: Graphs of the functions f and g are given. y A -2 0

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

A: At any point a the limit for any function limx→afx=L exists if limx→a−fx=limx→a+fx=fa.

Q: Let f(x) = 2/ %3D If g(x) is the graph of f(x) shifted down 3 units and left 2 units, write a…

A: Given: f(x)=2x

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

A: We will find the limit.

Q: Step 4 Complete the table. Interval Test point k f (k) Sign of f Position of Graph To the x-axis

A: To sketch the graph of y=f(x)=x3-x2-12xx2-x-2 and complete the table:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.