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Q: Transform the function into a new function by shifting horizontally 10 units to the right, reflecting the result across the x-axis, and then shifting the result down 6 units. Find the equation of .

Q: Transform the function into a new function by reflecting horizontally (across the y-axis) and then shifting the result up 3 units. Find the equation of .

Q: Transform the function into a new function by shifting horizontally 3 units to the left and then shifting the result down 6 units. Find the equation of .

Q: Transform the function into a new function by compressing by a factor of 0.9 and reflecting across the x-axis, and then shifting the result up 4 units. Find the equation of .

Q: Transform the function into a new function by compressing by a factor of 0.3, reflecting across the x-axis, and then shifting the result down 8 units. Find the equation of .

Q: Select the choice which best describes the graph of . A) It is the graph of reflected vertically (across the x-axis). B) It is the graph of shifted 1 unit to the right. C) It is the graph of shifted 1 unit down. D) It is the graph of reflected horizontally (across the y-axis).

Q: Select the equation whose graph is the graph of reflected horizontally (across the y-axis). A) B) C) D)

Q: Select the choice which best describes the graph of . A) It is the graph of shifted 9 units to the right. B) It is the graph of vertically stretched by a factor of 9. C) It is the graph of shifted 9 units down. D) It is the graph of shifted 9 units to the left.

Q: Select the equation whose graph is the graph of shifted 10 units to the right. A) B) C) D)

Q: Select the choice which best describes the graph of . A) It is the graph of shifted 6 units up. B) It is the graph of vertically stretched by a factor of 6. C) It is the graph of shifted 6 units to the right. D) It is the graph of shifted 6 units down.

Q: Select the equation whose graph is the graph of shifted 6 units up. A) B) C) D)

Q: Select the choice which best describes the graph of . A) It is the graph of shifted 2 units to the right. B) It is the graph of vertically stretched by a factor of 2. C) It is the graph of shifted 2 units up. D) It is the graph of vertically stretched by a factor of 2 and reflected across the x-axis.

Q: Select the equation whose graph is the graph of vertically stretched by a factor of and reflected across the x-axis. A) B) C) D)

Q: Select the choice which best describes the graph of . A) It is the graph of shifted 8 units to the left. B) It is the graph of vertically stretched by a factor of 8. C) It is the graph of shifted 8 units down. D) It is the graph of vertically stretched by a factor of 8 and reflected across the x-axis.

Q: Select the equation whose graph is the graph of vertically stretched by a factor of 8. A) B) C) D)

Q: On the log-log plot, plot the equation y=10x2.

Q: Which equation could be represented by this graph?A) B) C) D)

Q: The log-log plot of an equation of the form y=kxp goes through the points (2, 8) and (6, 16). Find the power function for this graph.

Q: On a log-log plot, the graph of the equation y=52x3 would beA) B) C) D)

Q: On a log-log plot, the equation would have a y-intercept of:Round the answer to 2 decimal places if necessary.

Q: On a log-log plot, the equation would have a slope of:

Q: Convert the power function to its equivalent form, .

Q: The graph of a power function, y=kxp, on a log-log plot is a line that passes through the points ("1,10) and (5,"25).Find the power function y=kxp.Round values to two decimal places, if necessary.

Q: The graph of a power function, y=kxp, on a log-log plot is a line that passes through the points ("5,49) and (10,"76).Find the A) m and B) b in the equation of the line, in form, where and .Then find C) k and D) p in the power function y=kxp.Round answers to two decimal places, if necessary.

Q: Convert the equation to its power function equivalent form, y=kxp.

Q: Which of the following is a log-log plot of the function y= 12.x7A) B) C) D)

Q: Which of the following functions would appear as a straight line on a log-log plot?A) B) C)

Q: The functions and , are:Select all that apply.A) B) C) D) None of the above

Q: The functions and , are:Select all that apply.A) B) C) D) None of the above

Q: The functions and , are, in relation to each other:Select all that apply.A) Symmetrical about the vertical axis.B) Symmetrical about the horizontal axis.C) Symmetrical about the origin.D) No symmetry

Q: The functions and , are, in relation to each other:Select all that apply.A) Symmetrical about the vertical axis.B) Symmetrical about the horizontal axis.C) Symmetrical about the origin.D) No symmetry

Q: For the functions and , when x < 0, thenA) f(x) > g(x)B) f(x) = g(x)C) f(x) < g(x)D) Unable to determine

Q: Which equation best describes the graph?A) B) C) D)

Q: Which equation best describes the graph A) B) C)

Q: Find a function to express the ratio of a the surface area of a sphere to the volume of a sphere.

Q: Which description best fits the power function, y=kxp wherek is negative and p is positive and odd?A) B) C) D)

Q: Find the description that best fits the power function, y=kxp whereA) k is negative and p is negative and evenB) k is negative and p is positive and oddC) k is positive and p is negative and oddD) k is positive and p is negative and even

Q: Which of the following is the graph of a power function, y=kxp, where k is negative and p is positive and even?A) B) C) D)

Q: Which description best fits the power function, y=kxp, pictured?A) k is negative and p is negative and evenB) k is negative and p is positive and evenC) k is positive and p is positive and oddD) k is negative and p is negative and odd

Q: Which description best fits the power function, y=kxp, where k is positive and p is negative and odd?A) when , y 0 and when, y 0B) when , y 0 and when, y 0C) when , y 0 and when, y 0D) when , y 0 and when, y 0

Q: Find the description that best fits the power function, y=kxp, where as andwhen , y 0 and when, y 0A) k is positive and p is oddB) k is positive and p is evenC) k is negative and p is oddD) k is negative and p is even

Q: Find the description that best fits the power function, y=kxp, where as andwhen , y 0 and when, y 0A) k is positive and p is negative and evenB) k is positive and p is negative and oddC) k is negative and p is negative and evenD) k is negative and p is negative and odd

Q: Which of the following is the graph of a power function, y=kxp, where k is negative and p is even?A) B) C) D)

Q: Which of the following is the graph of a power function, , where k is negative and p is negative and odd? A) B) C) D)

Q: What description best fits the power function, y=kxp, pictured?A) k is negative and p is negative and oddB) k is positive and p is negative and oddC) k is negative and p is negative and evenD) k is positive and p is negative and even

Q: The gravitational force between two heavenly bodies is inversely proportional to the square of the distance between the two bodies. If two planets that are 3,400 Gm apart share a gravitational attraction of 0.004343 N, what would the force between two planets of similar size that are 8400 Gm apart? Round the answer to 6 decimal places if necessary.

Q: The amount of time needed to paint the interior of an office building is directly proportional to the square footage of the building and inversely proportional to the number of painters on the job. If 6 painters needed 77 hours to paint a 44,000 square foot office building, find how many hours would it take for 7 painters to paint a 34,000 square foot office building? Round your answer to 2 decimal places, if necessary.

Q: Given that w is directly proportional to the cube of x and inversely proportional to the square root of y and, when and , A) find a formula to describe the relationship (use only positive exponents and fractional exponents rather than radicals, if necessary) and, B) use the formula to find w when and . Round your answer to 2 decimal places, if necessary.

Q: Given that w is directly proportional to the square root of x and inversely proportional to y, and when and , find w when and . Round your answer to 2 decimal places, if necessary.

Q: Given that w is directly proportional to x and inversely proportional to y, and when and , find a formula to describe this relationship. Use only positive exponents and use fractional exponents rather than radicals, if necessary. Round values to 2 decimal places, if necessary.

Q: The percentage of sunlight, s, that filters through water is inversely proportional to the depth of the water, d. If 10 meters below the surface only 25% of sunlight is visible, find what percent of sunlight will be visible 30 meters below the surface. Round your answer to 2 decimal places, if necessary.

Q: Given that y is inversely proportional to the cube root of x and when , A) find a general formula to describe the relationship (write your answer with positive exponents) and, B) use the formula to find y when . Round your answer to 2 decimal places, if necessary.

Q: Given that y is inversely proportional to the square root of x and when , find y when . Round your answer to 2 decimal places, if necessary.

Q: Given that y is inversely proportional to the square of x and when , the formula describes this relationship. Find p and k. A) p is 54 and k is 2 B) p is 6 and k is 3 C) p is 2 and k is 54 D) p is 3 and k is 6

Q: Given that y is inversely proportional to the cube root of x and when , the formula describes this relationship. Find A) p and B) k.

Q: Given that y is inversely proportional to the square of x and when , find a general formula to describe the relationship. Write your answer with positive exponents.

Q: Given that y is inversely proportional to x, and y = 10 when x = 15. Find y when x is 25.

Q: Given that y is inversely proportional to x, and y = 4 when x = 21. Find a general formula to describe the relationship.

Q: Given the points (2, 4) and (4, 16), find the power function of the form y = ax that goes through the two points.

Q: Given the points (2, 24) and (4, 192), find the power function of the form y = axp that goes through the two points.

Q: Which graph represents the function f(x) = 5"x? A) B) C) D)

Q: Which graph represents the function f(x) = 7x? A) B) C) D)

Q: Which graph represents the function f(x) = 3x3? A) B) C) D)

Q: Which graph represents the function f(x) = "12x12? A) B) C) D)

Q: Which graph represents the function f(x) = 7x7? A) B) C) D)

Q: Which graph represents the function f(x) = 8x8? A) B) C) D)

Q: Compare the functions f(x) = 6x6 and g(x) = 6x. On the interval ,A) f(x) < g(x)B) f(x) = g(x)C) f(x) > g(x)

Q: Compare the functions f(x) = 2x2 and g(x) = 2x. On the interval (1, 5), A) f(x) < g(x) B) f(x) = g(x) C) f(x) > g(x)

Q: For 0 < x < 5, where do the graphs of f(x) = 9x9 and g(x) = 9x intersect?

Q: As which function dominates, or ?A) B)

Q: For and As which of the following is true?A) B)

Q: True or False. The graph of a function of the form f(x) = "5xp, is symmetrical about the horizontal axis when p is even. A) True B) False

Q: Sketch a graph of the power function y = 4x8.

Q: Sketch a graph of the power function y = 3x3.

Q: Are f(x) = 3x9 and g(x) = "3x9 reflections of each other across the horizontal axis?

Q: Graph A is the graph of , and graph B is the graph of . What is the value of k?

Q: Graph A is the graph of , and graph B is the graph of . What is the value of k?

Q: Both graphs below are power functions of the form . Which graph has a larger k? A) A B) B

Q: Both graphs below are power functions of the form . Which graph has a larger k? A) A B) B

Q: Which of the following describes the function, ? A) B) C) both A and B D) neither A or B