True or False: Suppose the graph of f is given

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Presentation transcript:

True or False: Suppose the graph of f is given True or False: Suppose the graph of f is given. To obtain the graph of y = 6 f (x), we must stretch the graph of f (x) vertically by a factor of 6. True False 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

f (x) = x 2 f (x) = - x 2 f (x) = x 2 - 8 The function f (x) is reflected in the x-axis and then shifted up 8 units and the graph of g (x) = 8 - x 2 is obtained. What is f (x)? Select the correct answer: f (x) = x 2 f (x) = - x 2 f (x) = x 2 - 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The graph of g(x) = 7 - |x| is obtained by shifting f (x) up 7 units The graph of g(x) = 7 - |x| is obtained by shifting f (x) up 7 units. What is f (x)? Select the correct answer: f (x) = - |x| f (x) = |x| f (x) = - 7 + |x| f (x) = - x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use the given value of the function f (x) = x 5 to find the value of g(x) = |x 5 |. Select all correct answers: f (-7) = -16,807, g (-7) = 16,807 f (-4) = -1,024, g (-4) = 256 f (-2) = -32, g (-2) = 32 f (1) = 1, g (1) = 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50