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Properties of Graphs of Functions and Relations



 1 

Theresa is comparing the graphs of mc001-1.jpg and mc001-2.jpg.  Which statement is true?
a)
The y-intercept of mc001-3.jpg is mc001-4.jpg, and the y-intercept of mc001-5.jpg is mc001-6.jpg.
b)
Both graphs have a y-intercept of mc001-7.jpg, and mc001-8.jpg is steeper for mc001-9.jpg.
c)
Both graphs have a y-intercept of mc001-10.jpg, and mc001-11.jpg is steeper for mc001-12.jpg.
d)
Neither graph has a y-intercept.
 

 2 

Which statement about the graph of the equation mc002-1.jpg  is not true?
a)
It is asymptotic to the x-axis.
b)
The domain is the set of all real numbers.
c)
It lies in Quadrants I and II.
d)
It passes through the point mc002-2.jpg.
 

 3 

The graph of the equation mc003-1.jpg can be described as a
a)
line passing through points mc003-2.jpg and mc003-3.jpg
c)
circle with its center at the origin and a radius of 2
b)
parabola with its vertex at mc003-4.jpg
d)
circle with its center at the origin and a radius of 4
 

 4 

Which statement describes the graph of mc004-1.jpg?
a)
It passes through the point mc004-2.jpg.
c)
It is parallel to the y-axis.
b)
It has a slope of 4.
d)
It is parallel to the x-axis.
 

 5 

The graph of the equation mc005-1.jpg forms
a)
a circle
c)
a straight line
b)
a parabola
d)
two intersecting lines
 

 6 

When graphed on the coordinate plane, the equations mc006-1.jpg and mc006-2.jpg form
a)
a parabola and a straight line
c)
two parabolas
b)
a parabola and a circle
d)
two circles
 

 7 

Camisha is paying a band $330 to play at her graduation party.  The amount each member earns, d, varies inversely as the number of members who play, n.  The graph of the equation that represents the relationship between d and n is an example of
a)
a hyperbola
c)
a parabola
b)
a line
d)
an ellipse
 

 8 

A commercial artist plans to include an ellipse in a design and wants the length of the horizontal axis to equal 10 and the length of the vertical axis to equal 6.  Which equation could represent this ellipse?
a)
mc008-1.jpg
c)
mc008-3.jpg
b)
mc008-2.jpg
d)
mc008-4.jpg
 

 9 

What is the axis of symmetry of the graph of the equation mc009-1.jpg?
a)
mc009-2.jpg
c)
line mc009-4.jpg
b)
mc009-3.jpg
d)
line mc009-5.jpg
 

 10 

Which function is symmetrical with respect to the origin?
a)
mc010-1.jpg
c)
mc010-3.jpg
b)
mc010-2.jpg
d)
mc010-4.jpg
 

 11 

Which equation, when graphed on a Cartesian coordinate plane, would best represent an elliptical racetrack?
a)
mc011-1.jpg
c)
mc011-3.jpg
b)
mc011-2.jpg
d)
mc011-4.jpg
 

 12 

An object orbiting a planet travels in a path represented by the equation mc012-1.jpg.  In which type of pattern does the object travel?
a)
hyperbola
c)
circle
b)
ellipse
d)
parabola
 

 13 

Which equation represents a hyperbola?
a)
mc013-1.jpg
c)
mc013-3.jpg
b)
mc013-2.jpg
d)
mc013-4.jpg
 

 14 

A designer who is planning to install an elliptical mirror is laying out the design on a coordinate grid.  Which equation could represent the elliptical mirror?
a)
mc014-1.jpg
c)
mc014-3.jpg
b)
mc014-2.jpg
d)
mc014-4.jpg
 

 15 

The graph of which function is symmetric with respect to the graph of the line mc015-1.jpg?
a)
mc015-2.jpg
c)
mc015-4.jpg
b)
mc015-3.jpg
d)
mc015-5.jpg
 

 16 

What is the graph of the function mc016-1.jpg?
a)
a circle whose radius is 2 and whose center is at the origin
b)
a circle whose radius is 4 and whose center is at the origin
c)
the upper half of a circle whose radius is 2 and whose center is at the origin
d)
the upper half of a circle whose radius is 4 and whose center is at the origin
 

 17 

If the equation of the axis of symmetry of a parabola is mc017-1.jpg, at which pair of points could the parabola intersect the x-axis?
a)
(3,0) and (5,0)
c)
(3,0) and (1,0)
b)
(3,0) and (2,0)
d)
(-3,0) and (-1,0)
 

 18 

The graph of the equation mc018-1.jpg forms
a)
a circle
c)
a hyperbola
b)
an ellipse
d)
a parabola
 

 19 

The graph of the equation mc019-1.jpg is best described as
a)
a circle
c)
an ellipse
b)
two lines
d)
a hyperbola
 

 20 

Which equation represents an ellipse?
a)
mc020-1.jpg
c)
mc020-3.jpg
b)
mc020-2.jpg
d)
mc020-4.jpg
 

 21 

Which graph has line symmetry with respect to the y-axis?
a)
mc021-1.jpg
c)
mc021-3.jpg
b)
mc021-2.jpg
d)
mc021-4.jpg
 

 22 

The graph of the equation mc022-1.jpg intersects
a)
the x-axis, only
c)
the x-axis and the y-axis
b)
the y-axis, only
d)
neither the x-axis nor the y-axis
 

 23 

The graph of the function mc023-1.jpg lies in which quadrant(s)?
a)
I, only
c)
I and III
b)
I and II
d)
I and IV
 

 24 

The graph of mc024-1.jpg lies in Quadrant(s)
a)
I and II
c)
III and IV
b)
II and III
d)
I and IV
 



 
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