Determine whether the given function is continuous. If it is not, identify where it is discontinuous. You can verify your conclusions by graphing the function with a graphing utility. 4x2 + 3x + 2 g(x) = x + 2

Q: Which one of the following functions has a graph that is decreasing in its domain? O a. f(x)=√x…

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Q: Based on the equation of each function, describe how the graph of each function compares to the…

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Q: Graph the piece-wise H|₂x| 2 -X+4 f(x) = function. > 1 > for X1

A: In this question, we will graph the piece-wise function.

Q: Consider the following function. f(x) = x² - 6x Write the function in the form y = ax² + bx + c.…

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Q: Let A be the graph of the function f(xr) = ²²-1, and B the graph of the function g(x) = x + 1. Are A…

A: We are given two functions  and  which are defined as follows…

Q: h(x) = (lx - 21 (4- 2x if x # 2 if x = 2

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Q: x 3.

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Q: Sketch the graph of f.

A: Sketching Graphs have a horizontal x-axis and vertical y-axis, and the point…

Q: First find f+ g, f- g, fg and Then determine the domain for each function. f(x) = 4x + 28x + 40,…

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Q: f(g(-3)) = . g(f(-1) =,

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Q: The following function is given: f(x)= 3x2/3-x Use the Graphing Strategy Four Step to investigate…

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Q: Let f(x)= x² –- 3; let g(x) be a function equal to 7 more than 6 times a number; and let the table…

A: All the 3 graphs are as as shown-

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.