Exercise 1.6. The graph below (Figure 1) shows a function f with domain [1,4] and range [0, 2]. Let g(x) = 2f(x+1). 1 1 2 3 4 5 х Figure 1: This figure is used in Exercise 1.6 (i) State the domain and range of g(x). (ii) Sketch the graph of g(x). Exercise 1.7. Let C be a circle with radius 2 centred at the point (2,0). (i) Write an equation for the circle C. (ii) Is curve C the graph of a function of x? Explain your answer. (iii) Write parametric equations to traverse C once, in a clockwise direction, starting from the origin.
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.
help me 1.6 and 1.7
![Exercises_Calculusl_Sep20.
Exercise 1.6. The graph below (Figure 1) shows a function f with domain [1, 4] and range [0, 2]. Let
g(x) = 2f(x + 1).
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Figure 1: This figure is used in Exercise 1.6
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State the domain and range of g(x).
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(ii) Sketch the graph of g(x).
Exercise 1.7. Let C be a circle with radius 2 centred at the point (2,0).
(i) Write an equation for the circle C.
(ii) Is curve C the graph of a function of x? Explain your answer.
(iii) Write parametric equations to traverse C once, in a clockwise direction, starting from the origin.
Exercise 1.8. Let C be a circle centered at (0,2) with radius 2. Which of the following is the
parametric equation of C, in the counter-clockwise direction, starting from the point (0, 4)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bf321d1-0fc0-4758-84ab-170ee0342128%2Fe4cd1c38-2a7a-416c-b330-01b194b5c053%2Fm4xlacd_processed.png&w=3840&q=75)
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