Exam 2: Relations, Functions and Graphs

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Write the equation in slope-intercept form, then identify the slope and y-intercept. y + 6x = 1

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Use the following to answer questions : 4x - 10y = 20 -Write the equation in the slope-intercept form.

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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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Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. -8x + 6y = -1 4x + 3y = 11

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Compute the slope of the line through the points (-5, -1) and (-1, -5).

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

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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 : Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is constant. Write the answer in interval notation. Assume all endpoints have integer values. Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is constant. Write the answer in interval notation. Assume all endpoints have integer values. (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is constant. Write the answer in interval notation. Assume all endpoints have integer values.

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Use the following to answer questions : A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year. -What is the copier's value after 2 years of use?

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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)(2). Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f - g)(2). (Gridlines on each graph are spaced one unit apart.) -Find (f - g)(2).

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Graph by plotting points or using the intercept method. Plot at least three points. Choose inputs that will help simplify the calculation. Graph by plotting points or using the intercept method. Plot at least three points. Choose inputs that will help simplify the calculation.

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Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. -Determine the velocity of the car after 10.4 seconds. , where V(t) is the velocity at time t. -Determine the velocity of the car after 10.4 seconds.

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Use the following to answer questions : f(x) = x2 - 64 and g(x) = x + 8 -Determine the domain of Use the following to answer questions : f(x) = x<sup>2</sup> - 64 and g(x) = x + 8 -Determine the domain of   . .

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

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Identify the center and radius of the circle. (x + 6)2 + (y - 4)2 = 16.

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Find the equation of a circle with center (-1, 2) and radius Find the equation of a circle with center (-1, 2) and radius   . Then sketch its graph. . Then sketch its graph.

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Use the following to answer questions : A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee. -Find the cost if the car is rented for 5.5 hr.

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

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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 : Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Determine the equations of asymptotes (if any). Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Determine the equations of asymptotes (if any). (Gridlines are spaced one unit apart.) -Determine the equations of asymptotes (if any).

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