Domain and Range from Graphs

Compare the red graph f\left(x\right)=\frac{1}{x}with the blue graph g\left(x\right)=\frac{-8}{x}. What is the blue graph doing?

• The graph of g is a reflection in the y-axis and lies farther from the axes. The graphs have the same asymptotes, domain, and range.

• The graph of g is a reflection in the x-axis and lie closer to the axes. The graphs have the same asymptotes, domain, and range.

• The graph of g is a reflection in the x-axis and lies farther from the axes. The graphs have the same asymptotes, domain, and range.

• The graph of g is a reflection in the y-axis and lies closer to the axes. The graphs have different asymptotes, domains, and ranges.

Find the domain and range.

• Domain: all real numbers except -2.

  Range: all real numbers.

What is the range of this function?

• -4 ≤ y ≤ 5

• -1 ≤ x ≤ 3

• All Real Numbers

• y ≥ -4

Match the correct interval to the domain and range.

Find the domain and the range given the graph of the function.

Find the domain and the range given the graph of the function.

Domain: ​ (a)  

Range: ​ ​ (b)  

• All Real Number

Is the following graph continuous or discrete? What is the domain and range of the graph?

• Discrete
  D:{ 0, 1, 2, 3, 4, 5, 6}
  R: {0, 1, 2, 3,...70}

• Discrete
  D: {0, 1, 2, 3,...70}
  R: {0, 1, 2, 3, 4, 5, 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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