Use a graph to determine whether the given function is continuous on its domain. g(x) =    7 − x if x ≤ 7 x + 7     if x > 7   If it is not continuous on its domain, list the points of discontinuity. (If there is no such point, enter NONE.) x =

Q: Draw the graph of the function f (x) if f is continuous on (−∞, ∞) when you know the following.…

A: Given the characteristics of the graph of a function:

Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

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

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Q: x- f(x)= 3x +9

A: Given: f(x)=-x23x+9   To Determine: if the given function is continuous at every real number. If…

Q: Use a graph to determine whether the given function is continuous on its domain. If it is not…

A: We have the given piecewise function as hx=xxif x≠00if x=0 The above piecewise function has critical…

Q: The function f is continuous for all real numbers, and the graph of y = f'(x) is given. (a) Does the…

A: Given y=f'(x) is the function of the graph  a)Horizontal tangent lines: From the graph, we get the…

Q: Use a graph to determine whether the given function is continuous on its domain. If it is not…

A: Given:

Q: Determine the intervals on which the following function is continuous. x + 8 f(x) (x + 8)(x - 4)

A: Given:  f(x)=x+8(x+8)(x-4) We have to find the interval on which the given function is continuous.

Q: Use a graph to determine whether the given function is continuous on its domain. f(x) = 34 lxl/x…

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Q: Determine if the function is continuous at the specified point. If it is discontinuous, what type of…

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Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

A:

Q: Show that the following function is continuous or discontinuous at. f(x)=x2+x-6/x2-4

A: The given function is

Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

A: A function f(x) is continuous at x=c if the left hand limit, right hand limit and the value of the…

Q: Find the values of x for which the function is continuous. -6x + 5 if x O x # 0 O x # 5

A: The given function is  fx=-6x+5x<0x2+5x≥0 Continuous: If limx→a+fx=limx→a-fx=fa, then function f…

Q: x2 – 1 f (x) ; x = 1 х — 1

A: We will solve the following

Q: Let f(x) = {4x-5, if x <= 7                      -3x + b, if x > 7 If ?(?)f(x) is a function…

A:

Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: case 1 when x is not equal to 4lim x tends to 4 f(x) =( x^2-16)/(x-4)now using formula a ^2 - b^2 =…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: S(x + 4)² -2 < x x < -2 f(x)

A: fx=x+42    -2≤xx2              x&lt;-2 Since the given function is a polynomial function for all…

Q: Define x +3 for x 2 Find a value of c such that g is (a) left-continuous (b) right-continuous In…

A: Answer(a): The given function g(x) is said to be left continuous, if its continuous at x=-1, that is…

Q: Determine whether a function is continuous at a given number. If it is discontinuous, identify which…

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Q: Q3/ A) Decide if the following function is continuous using limits. x1. 2x g(x)= 3

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Q: Determine if the following is continuous at the indicated value of x. If it is continuous determine…

A: Given that: f(x)=|3x-5|,    if -5≤x≤-14xx-1,        if  -1&lt;x≤5     NOTE: As per our answering…

Q: find the X values if any at which f is not continuous State whether the discontinuities are a…

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Q: Use a graph to determine whether the function is continuous on its domain. If it is not continuous…

A:

Q: consider the function g(x) =   2 − πx         if x ≤ a               x^4              if x > a…

A: We are given the following function. We need to find a value of a. Idea: We will find the value of…

Q: x-1 f (x)=- x² +3x %3D

A: Given function: fx= x-1x2+3x Defintion: A function fx is continuous at a point a if and only if  1)…

Q: Find the intervals on which the function  f(x)= \frac{7x-1}{x^3-4x}   is continuous.

A: f(x)=7x-1x3-4x=7x-1xx2-4=7x-1xx-2x+2

Q: The function f(x) = (x² - 4)/(x-2) is continuous at x = 2. Select one: O True False The function…

A: Continuity of function

Q: Determine the intervals on which the following function is continuous. X-8 f(X)= 2-64

A:

Q: Give an example of a function g(x) that is continuous for all values of x except x = -1, where it…

A: Consider the figure:

Q: the following function is a continuous function at x=2 امرفق x² +x-6 x+ 2 x) = x2 - 4 x = 2

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: B. Test whether the given function is continuous or not, and classify the discontinuity whether…

A: Given problem:-

Q: Determine the interval(s) on which the following function is continuous. At which finite endpoints…

A: Given function is

Q: Find k so that the following function is continuous: kx f(æ) = if 0< x < 4 | 4x² if 4< x. k =

A: Given f(x)=kxif 0≤x&lt;44x2if 4≤xgiven it is continuous than it is continuous at…

Q: f(0) = 0 and f(5) = 2 (ii) f'(x) > 0 if 0 8 f' (x) 0 if 0 8

A: Some tips for drawing the graph.   If f'(x)&gt;0 then the slope of the curve will be positive. If…

Q: Given: e|3x-6| if x 3 1. Determine if f is continuous or discontinuous at x = 2 and x = 3. If…

A:

Q: Determine whether a function is continuous at a given number. If it is discontinuous, identify which…

A: Given,

Q: Use a graph to determine whether the following function is continuous on its domain. { − x + 2 x ≤…

A: sketch the graph Graphically Explanation Since the graph of the function is not break at any point.…

Q: f(x) = 2x² – x + 6 for all values of x %D

A: Given function is, f(x)=2x2-x+6

Q: If  f is a continuous function defined for all real numbers    x and if the maximum value of f(x) is…

A: Given that the maximum value of f(x)= 5 and the minimum value of f(x)= -7 For f(x)=5, |f(x)|= 5 And…

Q: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

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Q: Use a graph to determine whether the given function is continuous on its domain. HINT [See Example…

A: Given function hx=1+x2   if x≠06          if x=0To find  : point of discontinuitylimx→0+hx=limx→0+…

Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: Let’s  verify for continuity at x=1As we know by definition of abs |x| function

Q: Define g(4) for the given function so that it is continuous at x= 4. 5x - 80 g(x) = 5х - 20

A:

Q: Suppose that f(x)=βx−3 if x≤2βx+2 if x>2 Find the value of β so that f(x) is continuous everywhere…

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Q: Determine if the function is continuous. x4-1/x2-1

A: Given:     To determine: the function is continuous or not.

Q: B. Find all x values at which f(x) = 2-6-16 is not continuous. Identify the removable x+2…

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Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.