10.2 Graph Square Root Functions

• The function is reflected over the x-axis and vertically stretched by a factor of 3.
• The function is vertically stretched by a factor of 2 and shifted down by 1 unit.
• The function is shifted to the right by 3 units and reflected over the x-axis.
• The function is reflected over the y-axis and vertically compressed by a factor of 3.

• As x approaches infinity, f(x) approaches infinity; as x approaches 0, f(x) approaches 2.
• As x approaches infinity, f(x) approaches 0; as x approaches 0, f(x) approaches 5.
• As x approaches infinity, f(x) approaches 10; as x approaches 0, f(x) approaches 1.
• As x approaches infinity, f(x) approaches 2; as x approaches 0, f(x) approaches infinity.

• Range: [2, infinity)

• Domain: [-5, infinity)

• Domain: [3, infinity)

• Range: [-3, infinity)

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• domain: (0, 1),

  range: [4, ∞)

• domain: [1, 3],

  range: [0, 4]

• domain: [1, ∞),

  range: [4, ∞)

• domain: [1, ∞),

  range: (-∞, 4]

• The function is vertically stretched by a factor of 4.
• The function is reflected over the x-axis.
• The function is shifted 3 units to the right.
• The function is vertically compressed by a factor of 3/4.

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