Exam 2: Relations, Functions and Graphs

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Determine whether the relation represents a function or nonfunction, then determine the domain and range of the relation. Determine whether the relation represents a function or nonfunction, then determine the domain and range of the relation.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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Complete the table using the given equation. If an x input corresponds to two possible y outputs, be sure to find both. |y - 3| = x Complete the table using the given equation. If an x input corresponds to two possible y outputs, be sure to find both. |y - 3| = x

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

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Sketch the graph using shifts of a parent function and a few characteristic points. f(x) = Sketch the graph using shifts of a parent function and a few characteristic points. f(x) =

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Use the following to answer questions : Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f + g)(-3). Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f + g)(-3). (Gridlines on each graph are spaced one unit apart.) -Find (f + g)(-3).

(Multiple Choice)
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Determine whether the function is even using x = k. f(x) = -7x4 - 5x2 + 3

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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 : f(x) = Use the following to answer questions : f(x) =   and g(x) =   -Find the product of f and g. and g(x) = Use the following to answer questions : f(x) =   and g(x) =   -Find the product of f and g. -Find the product of f and g.

(Multiple Choice)
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Use the following to answer questions : Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find   (-3). Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find   (-3). (Gridlines on each graph are spaced one unit apart.) -Find Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find   (-3). (-3).

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Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -State the domain of h(x) = (f ? g)(x).

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Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x2 + 2x - 3 Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x<sup>2</sup> + 2x - 3   (Gridlines are spaced one unit apart.) -Identify the x- and y-intercepts. (Gridlines are spaced one unit apart.) -Identify the x- and y-intercepts.

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Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (2, 0) and (6, 2) L2: (6, -5) and (8, -9)

(Multiple Choice)
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Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.

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Use the following to answer questions : A line has slope m = Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). -Find the equation of the line in point-slope form. and passes through the point P1 = (2, -4). -Find the equation of the line in point-slope form.

(Multiple Choice)
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The following function is known to be odd. Complete the graph using symmetry. The following function is known to be odd. Complete the graph using symmetry.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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Use a table of values as needed to graph the function, then state its domain and range. If the function has a pointwise discontinuity, state how the second piece could be redefined so that a continuous function results. Use a table of values as needed to graph the function, then state its domain and range. If the function has a pointwise discontinuity, state how the second piece could be redefined so that a continuous function results.

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Graph the linear equation using the y-intercept and the slope indicated. Graph the linear equation using the y-intercept and the slope indicated.

(Multiple Choice)
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Use the following to answer questions : Use the following to answer questions :   and   -Evaluate (p∙q)(5). and Use the following to answer questions :   and   -Evaluate (p∙q)(5). -Evaluate (p∙q)(5).

(Multiple Choice)
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Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x2 + 2x - 3 Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x<sup>2</sup> + 2x - 3   (Gridlines are spaced one unit apart.) -Determine the domain. (Gridlines are spaced one unit apart.) -Determine the domain.

(Multiple Choice)
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Sketch the graph using transformations of a parent function (without a table of values). f(x) = -3|x|

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