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Find the range of the quadratic function. 34) f(x) = x^2 + 8

Question : Find the range of the quadratic function. 34) f(x) = x^2 + 8 : 2152284

Find the range of the quadratic function.

34) f(x) = x2 + 8

A) (-∞, 8]

B) [0, ∞)

C) [8, ∞)

D) [-8, ∞)

35) f(x) = (x + 3)2 + 7

A) [-3, ∞)

B) [7, ∞)

C) [3, ∞)

D) [-7, ∞)

36) f(x) = 9 - (x + 3)2

A) (-∞, 3]

B) [9, ∞)

C) [-3, ∞)

D) (-∞, 9]

37) f(x) = (x + 1)2 - 5

A) [-5, ∞)

B) [-1, ∞)

C) (-∞, -5]

D) (-∞, -1]

38) y + 9 = (x + 3)2

A) [9, ∞)

B) (-∞, 9]

C) [- 9, ∞)

D) (-∞, 3]

39) f(x) = 11(x - 2)2 + 7

A) (-∞, 7]

B) [2, ∞)

C) [7, ∞)

D) [-7, ∞)

40) f(x) = -7(x - 4)2 - 8

A) [-4, ∞)

B) (-∞, 4]

C) [-8, ∞)

D) (-∞, -8]

41) f(x) = x2 - 4x + 8

A) (-∞, -4]

B) [-2, ∞)

C) [4, ∞)

D) (-∞, 4]

42) f(x) = -x2 + 2x - 1

A) (-∞, 1]

B) (-∞, 0]

C) [0, ∞)

D) [1, ∞)

43) f(x) = 4x2 - 3x - 9

A) (-∞, - 153/16]

B) [3/8, ∞)

C) (-∞, 3/8]

D) [- 153/16, ∞)

44) f(x) = -4x2 + 4x

A) (-∞, 1/2]

B) (-∞, 1]

C) (-∞, - 1]

D) (-∞, - 1/2]

Find the x-intercepts (if any) for the graph of the quadratic function.

45) f(x) = x2 - 9

A) (-9, 0)

B) No x-intercepts

C) (-3, 0) and (3, 0)

D) (3, 0)

46) f(x) = (x + 1)2 - 1

A) (2, 0) and (-2, 0)

B) (0, 0) and (-1, 0)

C) (0, 0) and (2, 0)

D) (0, 0) and (-2, 0)

47) y + 9 = (x + 3)2

A) (6, 0) and (-6, 0)

B) (0, 0)

C) (0, 0) and (-6, 0)

D) (0, 0) and (6, 0)

48) f(x) = 2 + 3x + x2

A) (1, 0) and (2, 0)

B) (1, 0) and (-2, 0)

C) (-1, 0) and (2, 0)

D) (-1, 0) and (-2, 0)

49) f(x) = x2 + 16x + 42 Give your answers in exact form.

A) (-16 ± √42, 0)

B) (8 + √22, 0)

C) (8 ± √42, 0)

D) (-8 ± √22, 0)

50) f(x) = -x2 + 13x - 42

A) (6, 0) and (-7, 0)

B) (-6, 0) and (-7, 0)

C) No x-intercepts

D) (6, 0) and (7, 0)

51) f(x) = 2x2 - 14x + 24

A) (3, 0) and (-4, 0)

B) (8, 0) and (1.5, 0)

C) (8, 0) and (-1.5, 0)

D) (3, 0) and (4, 0)

52) f(x) = 2x2 - 18x + 36

A) (3, 0) and (6, 0)

B) (-3, 0) and (-6, 0)

C) (-3, 0) and (6, 0)

D) (3, 0) and (-6, 0)

53) 2x2 + 6x + 2 = 0

Give your answers in exact form.

A) (-3 ± √5/2, 0)

B) (-6 ± √5/2, 0)

C) (-3 ± √5/4, 0)

D) ( -3 ± √13/2, 0)

Find the y-intercept for the graph of the quadratic function.

54) f(x) = -x2 + 2x + 3

A) (0, -1)

B) (3, 0)

C) (0, 3)

D) (0, -3)

55) y + 9 = (x + 3)2

A) (9, 0)

B) (0, 0)

C) (0, -6)

D) (0, 6)

56) f(x) = 2 + 3x + x2

A) (0, 2)

B) (0, 1)

C) (0, 3)

D) (0, -2)

57) f(x) = x2 + 5x - 4

A) (0, 5)

B) (0, 4)

C) (0, 1)

D) (0, -4)

58) f(x) = (x – 1)2 - 1

A) (0, 1)

B) (0, 0)

C) (0, -2)

D) (0, -1)

59) f(x) = 2x2 - 3x - 5

A) (0, -5)

B) (0, 5)

C) (0, -(5/2))

D) (0, 5/2)

Find the domain and range of the quadratic function whose graph is described.

60) The vertex is (-1, -4) and the graph opens up.

A) Domain: (-∞, ∞)

Range: (-∞, -4]

B) Domain: (-∞, ∞)

Range: [-4, ∞)

C) Domain: [-1, ∞)

Range: [-4, ∞)

D) Domain: (-∞, ∞)

Range: [-1, ∞)

61) The vertex is (1, 10) and the graph opens down.

A) Domain: (-∞, ∞)

Range: [10, ∞)

B) Domain: (-∞, ∞)

Range: (-∞, 10]

C) Domain: (-∞, 1]

Range: (-∞, 10]

D) Domain: (-∞, ∞)

Range: (-∞, 1]

62) The minimum is -9 at x = 1.

A) Domain: (-∞, ∞)

Range: [-9, ∞)

B) Domain: (-∞, ∞)

Range: [1, ∞)

C) Domain: (-∞, ∞)

Range: (-∞, -9]

D) Domain: [1, ∞)

Range: [-9, ∞)

63) The maximum is -1 at x = 1

A) Domain: (-∞, 1]

Range: (-∞, -1]

B) Domain: (-∞, ∞)

Range: (-∞, -1]

C) Domain: (-∞, ∞)

Range: (-∞, 1]

D) Domain: (-∞, ∞)

Range: [-1, ∞)

Solve the problem.

64) Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 11x2, but which has its vertex at (5, 6).

A) f(x) = 11(x - 5)2 + 6

B) f(x) = (11x + 5)2 + 6

C) f(x) = 11(x + 5)2 + 6

D) f(x) = 11(x + 6)2 + 5

65) Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 5x2, but which has a minimum of 4 at x = 3.

A) f(x) = 5(x + 4)2 - 3

B) f(x) = -5(x - 3)2 + 4

C) f(x) = 5(x - 3)2 + 4

D) f(x) = 5(x + 3)2 + 4

66) Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = -7x2, but which has a maximum of 5 at x = 3.

A) f(x) = 7(x - 3)2 + 5

B) f(x) = -7(x - 3)2 + 5

C) f(x) = -7(x - 3)2 - 5

D) f(x) = -7(x + 3)2 + 5

Solution
5 (1 Ratings )

Solved
Algebra 2 Years Ago 192 Views
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