The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation. (0,0) (0,0) (0,0) (a) domain = (b) range = (0,0) Ø OUD 8 -8 Example Previous Next

If f is an even function, determine whether g is even, odd, or neither. Explain.(a)g(x) = −f(x)evenoddneitherExplain.The graph is a reflection in the x-axis.The graph is a reflection in the y-axis.The graph is a vertical translation of f.The graph is a horizontal translation of f.The graph is symmetric about the origin.(b)g(x) = f(−x)evenoddneitherExplain.The graph is a reflection in the x-axis.The graph is a reflection in the y-axis.The graph is a vertical translation of f.The graph is a horizontal translation of f.The graph is symmetric about the origin.(c)g(x) = f(x) − 3evenoddneitherExplain.The graph is a reflection in the x-axis.The graph is a reflection in the y-axis.The graph is a vertical translation of f.The graph is a horizontal translation of f.The graph is symmetric about the origin.(d)g(x) = f(x − 3)evenoddneitherExplain.The graph is a reflection in the x-axis.The graph is a reflection in the y-axis.The graph is a vertical translation of f.The graph is a horizontal…

The graphs of four functions f, g, h, and i are shown below. 3 2 4. -1 +1 -4 Read carefully: The functions below must be written in terms of f, 9, h, or i as indicated. If your answer only includes the letter x without one of the functions indicated, it will not be answering the question correctly. Although you may realize that f(x) = x“, use the general name f for this function and not the x. The point of this question is to understand how transformations work on general functions, not just on specific functions. This kind of remark is typically not included in questions as the question does explicitly tell you how to write your answer. The remark is added here to help you learn as it addresses a common mistake on the midterm. a. Write g(x) in terms of transformations of f. Then g(x) = Preview b. Write f(x) in terms of transformations of g. Then f(x) Preview c. Write h(x) in terms of transformations of f. Then h(x) Preview d. Write i(x)in terms of vertical transformations of f that…

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