Solving Square Root

Which of the following is the function shown in the graph?

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Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

What is the DOMAIN of the function?

• [-3, infinity)

•  [0, infinity)

• [3, inifinity)

• (-infinity, 0}

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

What is the domain of this function?
f(x) = √(x-2) + 4

• {x ∣ x ≥ 4}

• {x ∣ x ≥ -2}

• {x ∣ x ≤ 2}

• {x ∣ x ≥ 2}

What is the range of this function?
f(x) = √(x-2) + 4

• {f(x) ∣ f(x) ≥ -2}

• {f(x) ∣ f(x) ≥ 2}

• {f(x) ∣ f(x) ≥ 4}

• {f(x) ∣ f(x) ≥ -4}

What is the RANGE of this square root function?

• all real numbers

Solve for x. Identify extraneous solutions, if any.

• x = - 5

• x = - 3

• x = - 1

• no solution; x = - 3 is extraneous

Determine the equation for the graph.