**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) y^{2} = 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) 9x^{2} + 4y^{2} = 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 = -x^{5}/x^{2 }– 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) x^{2} + y – 81 = 0

A) origin

B) y-axis

C) x-axis

D) x-axis, y-axis, origin

E) none

48) y^{2} – x – 4 = 0

A) y-axis

B) x-axis

C) origin

D) x-axis, y-axis, origin

E) none

49) 4x^{2} + 16y^{2} = 64

A) x-axis

B) origin

C) y-axis

D) x-axis, y-axis, origin

E) none

50) 16x^{2} + y^{2} = 16

A) origin

B) y-axis

C) x-axis

D) x-axis, y-axis, origin

E) none

51) y = x^{2} + 12x + 27

A) y-axis

B) x-axis

C) origin

D) x-axis, y-axis, origin

E) none

52) y = 9x/x^{2 }+ 81

A) x-axis

B) y-axis

C) origin

D) x-axis, y-axis, origin

E) none

53) y = x^{2 }– 64/8x^{4}

A) origin

B) x-axis

C) y-axis

D) x-axis, y-axis, origin

E) none

54) y = 3x^{2} + 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 = -5x^{3} + 4x

A) x-axis

B) y-axis

C) origin

D) x-axis, y-axis, origin

E) none

57) y = -7x^{4 }+ 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 = x^{3}

A)

B)

C)

D)

61) x = y^{2}

A)

B)

C)

D)

62) y = Öx

A)

B)

C)

D)

63) y = 1/x

A)

B)

C)

D)

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