Exam 2: Graphs, Equations of Lines, and Functions

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Write an equation in slope-intercept form of the line that passes through (-4,5) and (2,-6) .

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The x - and y -axes divide the coordinate plane into four regions called __________.

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Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - {2,4,7}\{ 2 , - 4 , - 7 \}

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What is the slope of a line that is perpendicular to a line with slope 3 .

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Find h(4)h ( - 4 ) . h(x)=x+4h ( x ) = | x | + 4

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In which quadrant do points with a positive x -coordinate and a negative y -coordinate lie?

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Which of the following equations gives the graph shown below? Which of the following equations gives the graph shown below?

(Multiple Choice)
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Plot (4,0) on a rectangular coordinate system and name the quadrant or axis in which the point lies.

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Find the domain and range of the function below. Find the domain and range of the function below.

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Since 1990, when the average monthly price for basic cable TV programming in one country was $15.91, the cost has risen by about $1.32 a year. Write an equation in slope-intercept form to predict cable TV costs in the future. Use t to represent time in years after 1990 and C to represent the average basic monthly cost.

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Graph the equation. y=4x+1y = - 4 x + 1

(Multiple Choice)
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Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. 6x+12y=1,y=12x6 x + 12 y = 1 , y = - \frac { 1 } { 2 } x

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Write an equation of the line parallel to 5x7y=45 x - 7 y = 4 and passing through the point (1,-2) . Leave answer in slope-intercept form.

(Multiple Choice)
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Determine whether the line that passes through the two given points is parallel or perpendicular (or neither ) to a line with a slope of - 2. (2, 4), (3, 6)

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The __________ form of the equation of a line is y=mx+by = m x + b

(Short Answer)
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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.   How large an ascent does the sub begin to make 6 hours after launch?  __________ feet How large an ascent does the sub begin to make 6 hours after launch? __________ feet

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If (-1,3) is the midpoint of segment PQ and the coordinates of P are (-8,3) , find the coordinates of Q .

(Multiple Choice)
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Refer to the graph to find the value.  Refer to the graph to find the value.     f ( 2 ) =  __________ f(2)=f ( 2 ) = __________

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Match each domain and range of the functions with the corresponding answer. \{(-2,8),(4,5),(7,8)\} \{(2,3),(-4,-5),(-7,8)\} - {2,4,7}\{ - 2,4,7 \}

(Multiple Choice)
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Write an equation for a linear function whose graph passes through the points (4,-2) and (-1,3) .

(Multiple Choice)
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