### Evaluating Limits Using Graphs of Functions The graphs of functions \( f \) and \( g \) are given below. Use these graphs to evaluate each limit, if it exists. If an answer does not exist, enter DNE (Does Not Exist). #### Graph Descriptions **Graph 1** (left): Plot of \( y = f(x) \) - The function \( f(x) \) is represented by a blue curve. - At \( x = 1 \), there is a hole in the graph. - The graph generally follows a downward parabola around \( x = 1 \). **Graph 2** (right): Plot of \( y = g(x) \) - The function \( g(x) \) is represented by a green curve. - At \( x = 1 \), the graph has a discontinuity where \( g(x) \) is undefined, indicated by a filled circle above and below the x-axis. - The graph shows increasing and then decreasing behavior with significant features at \( x = 1 \). #### Limits to Evaluate \[ \text{(a) } \lim_{x \to 2} [f(x) + g(x)] \] \[ \text{Answer: } \] \[ \text{(b) } \lim_{x \to 0} [f(x) - g(x)] \] \[ \text{Answer: } \] \[ \text{(c) } \lim_{x \to 1} [f(x) g(x)] \] \[ \text{Answer: } \] \[ \text{(d) } \lim_{x \to 3} \frac{f(x)}{g(x)} \] \[ \text{Answer:} \] \[ \text{(e) } \lim_{x \to 2} [x^2 f(x)] \] \[ \text{Answer:} \] \[ \text{(f) } f(-1) + \lim_{x \to -1} g(x) \] \[ \text{Answer:} \] Evaluate these limits using the graphs provided to analyze the behavior of the functions \( f(x) \) and \( g(x) \) around the specified points.

Q: What's the answer for this

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Q: a) How many students are taking Art?

A: the number of students taking Art if given by 6+10=16

Q: If A = A−¹ . 9 7 1 0 1 5 00 01

A: The matrix is given byTo determine: The inverse of the given matrix.Formula used:

Q: the true answer is $

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Q: What is the Probability that a student is not taking either class?

A: From the given Venn diagram, it is observed that the number of students who are taking art only is…

Q: Question 3

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Q: Need help! 2 questions

A: Pick the odd one out.

Q: Question attached.

A: a. The values 1, 2, and 5 to be a population. The 9 different possible samples are,…

Q: Can you just do question c

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Q: 89 P2 X

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Q: Help!!! Please help me! Answer correctly

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Q: What is the second portion to the question ?

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Q: Is the graph complete? Yes No Save Answer Q1.3 (c) Is it possible to change the answer to part (b)…

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Q: could you pleas answer part c?

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Q: Part 1,2,3

A: The point is, 6,-2 So, the point is in 4th quadrant.

Q: part three is incorrect

A: Here, E=0.03 For 99% confidence level, the value of z is 2.576. Consider p^=0.5 (as sample size need…

Q: Could you further explain how you got this?

A: Given data :  n = 4 u = 35000 o = 5000 P(x > 40000) = ?

Q: I need help finding C, B and b

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.