The graph below is the function f(x) -5 -4 -3/-2 -1 -1 -2 3 -4 -5 5+ 4 3 02 1 lim Determine which one of the following rules for continuity is violated at x = - 1. ƒ(x) = f(a). f(x) exists. x→a lim x→a 3 4 5 Of(a) is defined.

Q: Find the one-sided limits of f(x). - 7x + 3 -2r- 4 if x> -2 if x < -2 f(x) = Step 1 of 2: Find lim…

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Q: d) Describe the continuity of this function and make a sketch of the graph.

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Q: The graph below is the function f(x) 5 4 3 02 OF -5 -4 -3 -2 -1 -1 -2 -3 -4 --5 -I--x Find lim f(x)…

A: Find the limit of the given questions.

Q: Use the given graph to: + + + -4, -3 -2 4 3 0 1 2 3 4 X Find lim f(x). X→

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Q: 1. Complete the following based on the graph of f(x). 0 10-8-6-4-2 CO 6 4 2 2 -4 क -8. f(x) e 246 6…

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Q: which of the following statements is true about the function             3x-2, if x&lt;2 r(x)=…

A: We have given,            3x-2, if x&lt;2r(x)=     -8      if x=-2             5x+4 if x&gt;2

Q: Let f(x) = -7 –- x². Find each of the following: f(5) – f(4) (A) 5 - 4 | f(4 + h) – f(4) (B) h f(4 +…

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Q: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: Find the value of the constant k that makes the function continuous. g(x) = 2 2x-5x-25 if x 5 x-5…

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Q: The graph below is the function f(x) 5+ 4 3 2 01 -5 -4 -3 -2 -1 -1 -2 3 -4 -5+ 1 2 4 5 Determine…

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Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.

Q: Use the graph of f(x) = X + 2x - x-8) to determine lim f(x) and lim f(x). X→-4 X-2

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Q: 2. Sketch the graph of the piecewise defined function x² for x 0 Evaluate f(5), f(0), f (-3). g(x)…

A: Given : g(x)=x2for x&lt;0-3for x=0-2x+3for x&gt;0

Q: 13-40. Evaluate the derivative of the following functions. 18. f(x)=sin-¹(esin x)

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