Exam 2: Graphs, Equations of Lines, and Functions

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The points A(1,3),B(2,1),C(3,6), and D(6,2)A ( - 1,3 ) , B ( 2 , - 1 ) , C ( 3,6 ) , \text { and } D ( 6,2 ) are vertices of a quadrilateral. Is the quadrilateral a rectangle?

(Multiple Choice)
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The price of computers has been dropping for the past ten years. If a desktop PC cost $5,700 ten years ago, and the same computing power cost $400 two years ago, find the rate of decrease per year. (Assume a straight-line model.) $__________

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Find the midpoint of line segment PQ . P(2,4),Q(10,7)P ( - 2 , - 4 ) , Q ( - 10,7 )

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Write an equation in slope-intercept form of the line that passes through (-4,4) and (2,-7) .

(Essay)
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Write an equation in slope-intercept form of the line with the given properties.  slope 2\text { slope } 2 , passes through (-3,5)

(Essay)
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Determine whether the graph is the graph of a function. Determine whether the graph is the graph of a function.

(Multiple Choice)
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Graph the equation. y=2xy = 2 x

(Multiple Choice)
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Which of the following equations is the equation for the graph below? Which of the following equations is the equation for the graph below?

(Multiple Choice)
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Determine whether the ordered pair is a solution of the equation. y=2x5y = - 2 x - 5 (3,-11)

(Multiple Choice)
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Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. 7x+5y=11,5x+7y=67 x + 5 y = 11,5 x + 7 y = 6

(Essay)
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Graph the equation. y=4y = 4

(Multiple Choice)
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Find the slope of the line that passes through the given points, if possible. (7, - 3), (- 14, 6)

(Essay)
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A shift of the graph of a function upward or downward is called a __________ translation.

(Short Answer)
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Find the domain and range of the function below. Find the domain and range of the function below.

(Essay)
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The graph in the following illustration shows the depths of a submarine at certain times. The graph in the following illustration shows the depths of a submarine at certain times.   Where is the sub 2 hours after launch? Where is the sub 2 hours after launch?

(Multiple Choice)
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A table of solutions for a linear equation is shown. Find the slope of the graph of the equation. x y -6 -5 0 -4 6 -3

(Multiple Choice)
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Sketch the graph of the associated function, g(x)=xg ( x ) = - | x | then draw the graph of the function f using a translation and/or a reflection, and give its domain and range. f(x)=x+2f ( x ) = - | x | + 2

(Multiple Choice)
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Determine whether the equation defines y to be a function of x . y=2x+3y = 2 x + 3

(True/False)
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A line has slope 15\frac { 1 } { 5 } and y intercept 7. Which of the following points lies on the line?

(Multiple Choice)
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Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. (6,2);y=5x11( - 6,2 ) ; y = - 5 x - 11

(Essay)
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