Exam 2: Relations, Functions and Graphs

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Graph by plotting points or using the intercept method. 3x + 2y = 6

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Use the following to answer questions : Due to a lightening strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. The radius of the circle is modeled by the function r(t) = 3t, where t is the time in minutes and r is measured in meters. -Find the area of the circular burn after 50 minutes.

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Identify the center and radius of the circle. x2 + (y - 8)2 = 4.

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Graph by plotting points or using the intercept method. y = 4

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Sketch the graph using transformations of a parent function (without a table of values). f(x) = | x | - 2

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Use the graph to solve the inequality f(x) < 0. Write the answer in interval notation. Use the graph to solve the inequality f(x) < 0. Write the answer in interval notation.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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Find the equation of a circle with center (0, 0) and radius 4. Then sketch its graph.

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Use the following to answer questions : f(x) = 5x + 8 and g(x) = x - 6 -Determine the domain of the quotient of f and g.

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Find the equation of a circle whose diameter has endpoints (2, -7) and (2, 1), then sketch its graph.

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Determine the domain of the function. Determine the domain of the function.

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Use the following to answer questions : h(x) = Use the following to answer questions : h(x) =   -Determine the value of h(a - 2). -Determine the value of h(a - 2).

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Use the graph to solve the inequality f(x) > 0. Write the answer in interval notation. Use the graph to solve the inequality f(x) > 0. Write the answer in interval notation.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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Use the following to answer questions : f(x) = Use the following to answer questions : f(x) =   and g(x) = 3x - 5 -State the domain of h(x) = (g ? f)(x). and g(x) = 3x - 5 -State the domain of h(x) = (g ? f)(x).

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Use the following to answer questions : h(x) = Use the following to answer questions : h(x) =   -Determine the value of h(4). -Determine the value of h(4).

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Use the following to answer questions : Use the following to answer questions :   and   -Evaluate (p∙q)(1). and Use the following to answer questions :   and   -Evaluate (p∙q)(1). -Evaluate (p∙q)(1).

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Use the following to answer questions : Use the following to answer questions :   -Evaluate f(-1). -Evaluate f(-1).

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Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -Find h(x) = (f ◦ g)(x).

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Determine whether the function is odd using x = k. f(x) = Determine whether the function is odd using x = k. f(x) =

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Use the following to answer questions : h(x) = Use the following to answer questions : h(x) =   -Determine the value of   . -Determine the value of Use the following to answer questions : h(x) =   -Determine the value of   . .

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Use the following to answer questions : Y1 = -2|x - 3| + 8 Y2 = (x - 5)2 + 1 Use the following to answer questions : Y<sub>1</sub> = -2|x - 3| + 8 Y<sub>2</sub> = (x - 5)<sup>2</sup> + 1   (Gridlines are spaced one unit apart.) -Use the correct notation to write the functions as a single piecewise-defined function. State the effective domain for each piece by inspecting the graph. (Gridlines are spaced one unit apart.) -Use the correct notation to write the functions as a single piecewise-defined function. State the effective domain for each piece by inspecting the graph.

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