Domain and Range from Graphs

What is the domain of this function?

• All Real Numbers

• -1 ≤ x ≤ 1

• -1 ≤ f(x) ≤ 1

• 2

What is the range of this function?

• All Real Numbers

• -1 ≤ x ≤ 1

• -1 ≤ f(x) ≤ 1

• 1 ≥ x

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}

• D:{-4, 0, 1, 2}
  R:{-4, -3, 1}

• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

What is the domain and range of the function y=2^x ? Use the graph to help!

• Domain: (−∞,∞)

  Range: (0,∞)

• Domain: (−∞,∞)

  Range: (1,∞)

• Domain: (−2,∞)

  Range: (0,∞)

• Domain: (−∞,∞)

  Range: (−∞,0)

Describe the transformations, asymptote, domain, and range for the following function: f(x)=-3(2)^{(x-4)}+6

• Transformation: Vertically stretched factor 3, translated right 4 and down 6. 
  Horizontal Asymptote at y = - 6 
  Domain: (-∞,∞)   Range: (-∞,6)

• Transformation: Reflection over x-axis, vertically stretched factor 3, translated right 4 and up 6. 
  Horizontal Asymptote at y = 6 
  Domain: (-∞,∞)   Range: (-∞,6)

• Transformation: Reflection over x-axis, vertically stretched factor 1/3, translated Left 4 and up 6. 
  Horizontal Asymptote at y = 6 
  Domain: (-∞,∞)   Range: (6,-∞)

• Transformation: Reflection over x-axis, vertically stretched factor 1/3, translated Left 4 and Down 6. 
  Horizontal Asymptote at y =6
  Domain: (-∞,∞)   Range: (6,-∞)

Which of the following graphs have the given domain and range?

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Which of the following graphs have the given domain and range?

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Which of the following graphs have the given domain and range?

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Which of the following graphs have the given domain and range?

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Which of the following graphs have the given domain and range?

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