Which statement is true about the graph of f(x) = |x| + 43 at the point (0, 43)? ) A. The graph has infinitely many tangent lines. O B. The graph has no tangent line. O C. The graph has a tangent line at y = 43. O D. The graph has two tangent lines: y = x+ 43 and y = -x+ 43. E. None of the above statements are true.

Q: y -1 1 2 4 3,

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Q: Graph the given functions in the specified interval

A: We first solve the equation for y.   4y=x+4y=x+44y=x4+1

Q: Referring to the graph above, which of the following statements is corred A.f"(x) 0 for all x

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Q: Oc. С

A: Graph of the given equation

Q: State the intervals on which each given function is increasing, decreasing, or constant.

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Q: 5. For what values of x is the function not differentiable? Identify whether the graph has a cusp,…

A: Solution:- (1) When x=0 the function f(x) is not differentiable.(2) When x tend to 0 f(x) tend to…

Q: 4. Use the given graph of f (x) to determine the following: a. At which labeled point(s) would f'(x)…

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Q: Graph each pair of functions. A g(x) = 2px" and h(x) = Complete the table of values and use it to…

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Q: 25. Graph the function y -21지 + 5. A. С. -3- D. to to B.

A: In this question we have to find the graph for the given function

Q: Use the graph to match each equation with the correct function.

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Q: Graph the following function over the indicated interval. y = −5+ e ¹+x; [-5,2]

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Q: 1 5. Find three functions f, g,h that satisfy: f(g(h(x))=

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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.