5. f(x) is a continuous function. Use the information summarized below to sketch a graph of f(x). y lim f(x) = -3 and lim f(x) = 3 X418 x →∞ f'(x) f"(x) + 0 -1 +0- O -2 nd O 0 nd 0 0 + 0 + I 0 2 X f(x) -2 -10 12 0 2 0-2 0 -4-3 2-1 4 3 2 } 0 -21 L 2 L 3 4 X+

Q: Give an example of two differentiable functions f(x) and g(x) such that: lim, 00 f(x) = lim, 0 9(x)…

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Q: Carefully sketch the graph of a continuous function f which satisfies the following properties:

A: Given, Sign of f'x-f'x<0 on an interval -∞,-2. f'x>0 on an interval -2,0. f'x<0 on an…

Q: Let f(x) = x² + 3x – 2 f(x) – f(1) a) Find lim x- 1 x+ 1 b) Use your answer in part (a) to find an…

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Q: Is the function given by f(x)= X+5 continuous over the interval (-∞,0)? Why or why not? O Yes, f(x)…

A: the functionhere need to check the continuity over the given interval is contituous if

Q: Let f(x) be a function with all of the following properties. Sketch a graph of y = f(x). Explain…

A: given that the function f(x) is a function with the following properties: a) f(-1)=2, f(1)=1 and…

Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 11.   please help!   Either f(x) a graphically defined function.

A: Step 1:Step 2: Step 3: Step 4:

Q: Let f(x) = x² + 9, x > 0. Find lim f'(x) →25

A: f(x)=x2+9

Q: Use the limit definition of the derivative to show that the derivative does not exist at x = a for…

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Q: For the function f(x) = 8x² + 10x + 24, find f' (x) using the f(x + h) – f(x) definition lim h→0 h…

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Q: Use the graph of the given function f(x) below to find the following. If something does not have a…

A: Solution:

Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: Give an example of a function that is not continuous at x = 2 but limx→2 f(x) = 1

A: choose any equation of line such that f(2)=1 but the function function f(x) should be discontinued…

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: i) f'(2) = 0 and f" (2) < 0 ii) lim-0 16+h)-15) iii) lim, +x f(x) = 2 iv) f(0) = -2 v) lim, 40 f(x)…

A: We can use the concept of function in order to solve the given application of derivative is also…

Q: f(r+h)-f(x) 1. Use the definition f (x) = lim to find the first derivative for the function h0 h…

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Q: If 4æ – 11y = 5 is the tangent to f(x) f(x) - f(3) at a = 3, then lim | (A) =! (B) 규 (C) 4 (D) (E) 4…

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Q: Let f be a function with continuous f" such that f(3) = 0, f'(3) = 2, and f"(3) = –1. Evaluate the…

A: use L Hospital Rule to find the given limit.

Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4?…

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch…

Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: x3 - 1 (x + 1)2 Let f (x) = Find lim f(x)? | x² - 5x + 4 x² + 1 X-1

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Q: Q4: Suppose that f satisfies the equation f (x + y) = f(x) + f(y) + x²y + xy² for all real numbers x…

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Q: #1 Let f: IR→IR and Suppose What can you say you say about the value (x,y) = (1,3) f(1,3)? that lim…

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