Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity. x-4 = (x)8 x+2 a. The function is continuous on its domain. b. The points of discontinuity: -2, 0. c. The point of discontinuity: 2. O d. The point of discontinuity: 0. O e. The points of discontinuity: 4, 0.

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Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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

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Q: Consider the following. -9x, f(x)=2 - 2x + 7, x > 6 Find the x-value at which f is not continuous.…

A: Givenf(x)=-9x ,   x≤6x2-2x+7  , x&gt;6The function is continuous ifLHL=RHL =f(a)ie limx→a-…

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A: The given conditions are : (a) f-3=5, f0=2, f3=0 (b) f'x&gt;0 on -∞,-3∪3,∞and f'x&lt;0 on -3,3…

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Q: Determine if the given function is continuous on the given point and intervals.                -x2…

A: The given function is  fx=-x2+4 , x&lt;02x2-5x , 0≤x&lt;37-x  ,    x≥3 We have to check the…

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Q: f (x) 1 ; x = - 5 %3D | x+5

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

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Q: (13x-51, if - 5<x< -1 if -1<x< 5 f(x) = at x = -1 4x X-1

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

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A: Given function is : fx=1+x2  if x≤02-x   if 0&lt;x≤2x-22 if x&gt;2 Check the continuity at x=0 LHL…

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Q: Consider the following. -9x, f(x)= 4 Find the x-value at which f is not continuous. Is the…

A: Given: fx=-9x           ,x≤4x2-4x+5 , x&gt;4 Here, At x=4 function has two values as, -9x=-94=-36…

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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.