1. A function is continuous. Which of the following is TRUE about its graph? a.It has a hole or gap. b.It can be drawn without lifting your pen. c.It approaches positive infinity. d.It represents a rational function.   2. On what value of x is the function f(x) = 1x / (x + 2) discontinuous? a.1 b.2 c.-2 d.1/2   3.On what value of x is the function f(x) = 5x / (x - 7) discontinuous? a.0 b.1 c.7 d.-7

Q: 1. Which table represents a function? 4. 4. f(x) 3 7. f(x) 4. 4. (1) (3) 1 0. -1 0. f(x) 1 -1 0.…

A: Table values of the function

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A:

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A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

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A: Domain of a function is the set of all possible input value to the function for which the function…

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A: We know that increasing and decreasing both functions are one-one

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A: Domain

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A: From the given data:

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Q: This is incorrect, also please type your answer or write clearly

A: Double integral We can solve this double integration by conversion from cartesian to polar.

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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.