The graphs of three functions, f(x), g(x), and h(x) are shown in the figure below. 5- 4 4 3 3. 3- 2. 2 2, 1. 1- "4 -3 -2 -i 0 -1 -3 -2 -1 0 -1 123 3 2 3 -1 -2 -2 -2 3- 3+ 3- -4 -4 -4 5. 5 f(x) g(x) h(x) Which of the following statements about these functions are true? I. The range for all three functions is (-∞, 0). II. Two of the functions have the same y-intercept. III. On the interval [-2, 2], the minimum y-value of h(x) is equal to the minimum y-value of g(x).

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A: The graph of function f(x) is given,The aim is to write the equation of the function f(x).

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A: This question is about transformation of functions

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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.