Activity 1. The discussion of the concept of continuity is already done. It is now time for you to start practicing what you have learned. Determine where the given function is discontinuous. AVAD CIT 1946 11-2x 1. f(x) = 7-13x-7 2-1 2. R(t) = 2+6r*+t x-1 3. f(x) = ²+7x-4 3 4. G(z) = %3D 222+3z-4

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: 1 2 The graph of the piecewise function f(x) is shown. -4 -3- -7 -6 -5 -4 -3 -2 -1, 3 7 x -2 -3 -6…

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Q: (2x+5 if x<-1 6. Sketch (By Hand) a graph of the piecewise defined function: f(x)=- 5-x if x2-1

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Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)…

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Q: 11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2…

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Q: rcise 2. Sketch the graph of the following piecewise defined functions 1. f(x)={-2, if x -4 7. f(x)…

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Q: Sketch a possible graph of a function with the following properties: x-intercepts: -1, 1 Critical…

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Q: (b) Determine the discontinuities of the following functions and state why the function fails to be…

A: Given function is not defined at x=0

Q: 2. Graph the piecewise function. 3x f(x) = -2x + 3 if-1< x < 4 2 if x 2 4 5 if x s-1 %3D

A: we have to add three different sub graph to make it

Q: A2. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(5) for the given function so that it is continuous…

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Q: examine the function for extreme: 1.   f(x)=x+x+2 2.   y=x3+x2+x+5 maxima and minima

A: # the first function seems to have some error. We are entitled to answer one question. Please…

Q: find the limit of each function (a) as xS q and (b) as xS -q. (You may wish to visualize your answer…

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Q: Q1// Graph and discuss, with detail, the continuity of the function -1 <x< 0 x2- 1 2x 0 <x< 1 y =…

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Q: Use a graphing utility to approximate to two decimal places any relative minima or maxima of the…

A: Consider the function  f(x)=-x2+3x-2 Using a graphing calculator, the graph of the above function…

Q: 4. if x -3 8 Step 1 of 3: Identify the general shape and direction of the graph of this function on…

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Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: The given function is fx=1x+2if x≠-21if x=-2. Note that limx→-2fx does not exist. This implies that…

Q: 3) Draw a sketch of the following function. Make sure you include all the details, such as the…

A: given function y=x3+x2-x-1 a) domain of function is ℝ b) x-intercept = -1,0 , 1,0 y-intercept = 0,-1…

Q: What are the features of the function f (x) = - ()* graphed below? 11 10 12-11-10-9 -8 -7 7 8 9 10…

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Q: Express the function graphed on the axes below as a piecewise function. 10 6 4 -10 -8 -6 -4. -2 10…

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Q: Using paper and pencil, make a piecewise function with: 1. A removable discontinuity at x=2 2. A…

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Q: Q. No. 2 a) Sketch the graph of function f(x) (2x-3 if -3SI<0 S(x) ={r if OSI<2 2sr55 if

A: the given function is: fx=2x-3     if   -3≤x&lt;0x2           if  0≤x&lt;2x          if  2≤x≤5 we…

Q: Find the point on the graph of the function f (æ) =(x– 7 )4/2 that is closest to the point ( 16, 0).…

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Q: This question has several parts that must be completed sequentially. If you skip a part of part.…

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Q: Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4,…

A: 1.) The given function is fx=3x-22x2+7x-4. The function is not defined at the points where the…

Q: which statements are always true for the graph of a cubic function?  I) When the graph has exactly…

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Q: Suppose the function  f(x) = 9x2 − 2x + 6  describes a physical situation that makes sense only for…

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Q: 70 x'-6x The function f(x) = has a removable discontinuity at x = 0. To remove the 10+x2 x3+2x…

A: to see 2nd step

Q: 41 -5 -4 -3 -2 -1 4 -2 -3 -4 -5+ Use the graph of f(x) above to estimate the value of f'(- 2) to one…

A: The graph of  the function f(x) is given. To estimate the value of f'(-2)

Q: Where is f(x)= -5 -6z+5 discontinuous?

A: The given function is fx=x-5x2+6x-5. We have to find the point where the given function is…

Q: The graph below is the function f(x) 5+ 3- 10 -9 -8 -7 -б -5 -4 -3 -2 -1 7. -1 -2 -3 -4 -5+…

A: On both sides of x=-4, the function is going to infinity.  So at x=-4 there is infinite…

Q: 6- Given the function below -(x+1) ²+7 X2

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Q: If f:[0, 3] → R is continuous, must its range be a closed interval? [HINT: Think about a constant…

A: We know that under continuous mapping image of compact set is compact

Q: 2, 1 2 -1 -1 -5 -4 -3 -2 -2 -4 Use the graph of f(x) above to estimate the value of f'(1) to one…

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Q: Find the intervals of increasing/decreasing, local extrema, intervals of concavity, and inflection…

A: Here is the solution of the given problem.

Q: Find any discontinuities and determine which type. f(x)= x^2-16

A: Given function is : fx=x2-16 To find any discontinuities and determine which type of discontinuity.

Q: -5 -4 -3 -2 -1 2 3 4 -2 -4 -5+ Use the graph of f(x) above to estimate the value of f'(- 1) to one…

A: To find the approximate value of the f' (-1), we need to find the slope of the tangent line at point…

Q: 4 if x < -3 k(x) = Vĩ if x 2 -3 2 of 3: Identify the general shape and direction of the graph of…

A: On the interval [-3, infinity) k(x) = (7/8)(x)1/3

Q: lim f(x) = x→3+ Is f concave up or concave down on 1 < x < 3? What is the absolute minimum of f(x)…

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Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

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: 7. Graph the piecewise defined function f by ans (x²-1 if-3<x<1 if x = 1 2-x if 1<x<5 f(x) = { 3 a.…

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Q: The intervals on which the function f(x) = x – 4x° + 4x2 + 6 is decreasing

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Q: (b) Discuss the continuity, monotonicity and concavity of the function whose graph is given in the…

A: Look at the graph, There is break at x = -4, 2, 6. =&gt; The function is discontinuous at x = -4, 2…

Q: Suppose that Miguel has traveled a distance of 1 km, and now he wants to convert distance into cm ,…

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Q: Graph the function below and identify its key characteristics. 13. f(x) = -x³ + 8x²-15x Domain:…

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Q: x2 - 25 How should the function f(x) be defined at -5 to make it continuous at -5? x + 5 (А) —10 (B)…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…