Exam 2: Functions and Graphs

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Find the indicated function. -Let f = (-7, 8), (-4, -8), (9, 4) and g = (-7, 9), (4, -8), (9, -3) . Find f + g.

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Write a formula to express the relationship. Use k as the constant of variation. -The altitude h of an equilateral triangle varies directly as one side s.

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Determine whether the function is invertible. If it is, find the inverse. -{(6, -2), (13, -1), (11, 0), (9, 1)}

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Determine whether the function is invertible. -The function that pairs students' ID numbers with their GPAs.

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Find the inverse of the function. -f(x) = Find the inverse of the function. -f(x) =

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Find the difference quotient, Find the difference quotient,   , for the function and simplify it. -f(x) = 7x - 11 , for the function and simplify it. -f(x) = 7x - 11

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Solve the problem. -Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 4.2 feet per second. Find a function, d(t), which gives the distance Ken Is from the streetlight in terms of time. Find a function, S(d), which gives the length of Ken's shadow in terms of D. Then find Solve the problem. -Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 4.2 feet per second. Find a function, d(t), which gives the distance Ken Is from the streetlight in terms of time. Find a function, S(d), which gives the length of Ken's shadow in terms of D. Then find   (t). (t).

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Determine whether the function is invertible. -The function that pairs the temperature at 3:00 pm in your city in degrees Fahrenheit with the temperature in degrees Celsius.

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Find the domain and range. -Find the domain and range. -

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Decide whether or not the functions are inverses of each other. -f(x) = Decide whether or not the functions are inverses of each other. -f(x) =   , g(x) =  , g(x) = Decide whether or not the functions are inverses of each other. -f(x) =   , g(x) =

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Solve the problem. -The cost of manufacturing a molded part is related to the quantity of parts produced during a production run. When 100 parts are produced, the cost is $300. When 300 parts are produced, the cost is $1900. What is the Average cost per part?

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Use the two given functions to write y as a function of x. -y = -7t + 6, t = -4x - 4

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Find the inverse of the function. -f(x) = Find the inverse of the function. -f(x) =   - 4 - 4

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Write the equation of the graph after the indicated transformation(s). -The graph of Write the equation of the graph after the indicated transformation(s). -The graph of   is translated 7 units to the left and 6 units downward. is translated 7 units to the left and 6 units downward.

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Provide an appropriate response. -One of the graphs is that of y = f(x) and the other is that of Provide an appropriate response. -One of the graphs is that of y = f(x) and the other is that of   State which is the graph of y =    State which is the graph of y = Provide an appropriate response. -One of the graphs is that of y = f(x) and the other is that of   State which is the graph of y =    Provide an appropriate response. -One of the graphs is that of y = f(x) and the other is that of   State which is the graph of y =

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The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -The graph of the given function is drawn with a solid line. The graph of a function, g(x), transformed from this one is drawn with a dashed line. Find a formula for g(x). -

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Decide whether or not the functions are inverses of each other. -Decide whether or not the functions are inverses of each other. -

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Match the function with the graph. -Match the function with the graph. -

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Use the horizontal line test to determine whether the function is one-to-one. -Use the horizontal line test to determine whether the function is one-to-one. -

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Match the function with the graph. -Match the function with the graph. -

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