List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these.
34)
A) intercepts: (-1, 0) and (1, 0)
symmetric with respect to origin
B) intercepts: (-1, 0) and (1, 0)
symmetric with respect to x-axis, y-axis, and origin
C) intercepts: (0, -1) and (0, 1)
symmetric with respect to x-axis, y-axis, and origin
D) intercepts: (0, -1) and (0, 1)
symmetric with respect to y-axis
35)
A) intercepts: (4, 0) and (-4, 0)
symmetric with respect to x-axis, y-axis, and origin
B) intercepts: (0, 4) and (0, -4)
symmetric with respect to x-axis, y-axis, and origin
C) intercepts: (0, 4) and (0, -4)
symmetric with respect to origin
D) intercepts: (4, 0) and (-4, 0
symmetric with respect to y-axis
36)
A) intercept: (7, 0)
symmetric with respect to y-axis
B) intercept: (7, 0)
no symmetry
C) intercept: (0, 7)
symmetric with respect to x-axis
D) intercept: (0, 7)
no symmetry
37)
A) intercept: (0, 4)
symmetric with respect to origin
B) intercept: (4, 0)
symmetric with respect to y-axis
C) intercept: (4, 0)
symmetric with respect to x-axis
D) intercept: (0, 4)
symmetric with respect to y-axis
38)
A) intercepts: (-3, 0), (0, 0), (3, 0)
symmetric with respect to x-axis, y-axis, and origin
B) intercepts: (-3, 0), (0, 0), (3, 0)
symmetric with respect to y-axis
C) intercepts: (-3, 0), (0, 0), (3, 0)
symmetric with respect to origin
D) intercepts: (-3, 0), (0, 0), (3, 0)
symmetric with respect to x-axis
Draw a complete graph so that it has the given type of symmetry.
39) Symmetric with respect to the y-axis
A)
B)
C)
D)
40) origin
A)
B)
C)
D)
41) Symmetric with respect to the x-axis
A)
B)
C)
D)
List the intercepts and type(s) of symmetry, if any.
42) y2 = x + 1
A) intercepts: (-1, 0), (0, 1), (0, -1)
symmetric with respect to x-axis
B) intercepts: (1, 0), (0, 1), (0, -1)
symmetric with respect to x-axis
C) intercepts: (0, 1), (1, 0), (-1, 0)
symmetric with respect to y-axis
D) intercepts: (0, -1), (1, 0), (-1, 0)
symmetric with respect to y-axis
43) 9x2 + 4y2 = 36
A) intercepts: (2, 0), (-2, 0), (0, 3), (0, -3)
symmetric with respect to x-axis, y-axis, and origin
B) intercepts: (3, 0), (-3, 0), (0, 2), (0, -2)
symmetric with respect to x-axis and y-axis
C) intercepts: (3, 0), (-3, 0), (0, 2), (0, -2)
symmetric with respect to the origin
D) intercepts: (2, 0), (-2, 0), (0, 3), (0, -3)
symmetric with respect to x-axis and y-axis
44) y = -x5/x2 – 7
A) intercept: (0, 0)
symmetric with respect to y-axis
B) intercept: (0, 0)
symmetric with respect to origin
C) intercepts: (Ö7, 0), (-(Ö7, 0), (0, 0)
symmetric with respect to origin
D) intercept: (0, 0)
symmetric with respect to x-axis
Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
45) y = x – 6
A) origin
B) y-axis
C) x-axis
D) x-axis, y-axis, origin
E) none
46) y = 2x
A) y-axis
B) x-axis
C) origin
D) x-axis, y-axis, origin
E) none
47) x2 + y – 81 = 0
A) origin
B) y-axis
C) x-axis
D) x-axis, y-axis, origin
E) none
48) y2 – x – 4 = 0
A) y-axis
B) x-axis
C) origin
D) x-axis, y-axis, origin
E) none
49) 4x2 + 16y2 = 64
A) x-axis
B) origin
C) y-axis
D) x-axis, y-axis, origin
E) none
50) 16x2 + y2 = 16
A) origin
B) y-axis
C) x-axis
D) x-axis, y-axis, origin
E) none
51) y = x2 + 12x + 27
A) y-axis
B) x-axis
C) origin
D) x-axis, y-axis, origin
E) none
52) y = 9x/x2 + 81
A) x-axis
B) y-axis
C) origin
D) x-axis, y-axis, origin
E) none
53) y = x2 – 64/8x4
A) origin
B) x-axis
C) y-axis
D) x-axis, y-axis, origin
E) none
54) y = 3x2 + 3
A) origin
B) x-axis
C) y-axis
D) x-axis, y-axis, origin
E) none
55) y = (x – 5)(x + 7)
A) y-axis
B) x-axis
C) origin
D) x-axis, y-axis, origin
E) none
56) y = -5x3 + 4x
A) x-axis
B) y-axis
C) origin
D) x-axis, y-axis, origin
E) none
57) y = -7x4 + 9x + 2
A) x-axis
B) origin
C) y-axis
D) x-axis, y-axis, origin
E) none
Solve the problem.
58) If a graph is symmetric with respect to the y-axis and it contains the point (5, -6), which of the following points is also on the graph?
A) (-5, 6)
B) (-6, 5)
C) (-5, -6)
D) (5, -6)
59) If a graph is symmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph?
A) (-4, -7)
B) (4, -7)
C) (4, 7)
D) (7, -4)
Graph the equation by plotting points.
60) y = x3
A)
B)
C)
D)
61) x = y2
A)
B)
C)
D)
62) y = Öx
A)
B)
C)
D)
63) y = 1/x
A)
B)
C)
D)
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