For the function g(x) graphed here, find the following limits or explain why they do not exist. a. lim g(x) X-3 b. lim g(x) X -2 c. lim g(x) d. lim g(x) X→-0.2 2- -8 -6 -4-

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Q: Graph the following function on the axes provided. 6х+15 for x 1

A: first we draw the graph individually then apply the conditions.

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Q: f(x) = x/x² + 1 efined on the interval [-5, 4]. -) f(x) is concave down on the open interval [-5,0]…

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Q: Use the graph below to answer the question -6 -5 -4 -3 -2 -1 -2 -3 Determine the interval(s) where…

A: Given the graph of f(t)  To find the interval in which f(t) < 0

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A: We have to slide the k such that graph shifted 3 unit up.

Q: For the following graph, identify the points where the local and absolute maxima and minima occur.…

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Q: 3. Is the relation xy = 36 a function? Explain why or why not? Draw this relation.

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Q: Consider the function. f(x) = 9x2 – 2, x = 1 to x = 2 Find the area (in square units) under the…

A: As we know that the area under the curve f(x) is : Area=∫abf(x)dx

Q: Which of the following functions has a graph that is the graph of y = f(x) compressed horizontally…

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Q: On the following coordinate plane, draw a graph of one function, ??(??), that satisfies the…

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Q: If (2,5) is a point on the graph of function f(x), which of the following must be tru? Explain A.…

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Q: For the graph f(x) below, find the indicated information.

A: Given data:     The given graph is shown.     a) With the help of the given graph, the value of the…

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Q: 3. For the following piecewise function, sketch a graph, determine whether the function is…

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Q: Consider the following graph. Part A. Write the functions as piecewise-defined functions. f(x) g(x)…

A: as we can see in the graph, it forms a mod function i.e y=|x|. Now for a function of f(x), we can…

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.