Solving Square Roots Functions

What is the parent function of square root functions?

• f(x) = x

• f(x) = √x

• f(x) = -√x

• f(x) = x²

What is the first step to solving a square root equation?

• Isolate the radical

• Square both sides

• Solve Algebraically

• Plug in the solution to the equation

After isolating the radical, what is the next step?

• Square both sides

• divide

• plug in the solution

• isolate the variable

What is the first step to solve this equation?

• Add 6 to both sides

• Square both sides

• Square root both sides

Match the following numbers to their square roots.

• 9

• 81

• 6

• 25

• 8

• 49

• 7

• 64

• 5

• 36

What is the domain of this graph?

• [ -1, ∞ )

• ( -∞, -1 ]

• [ 0, ∞ )

• ( ∞,0 ]

f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]

• Domain: [1, ∞)  Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞) 

• Domain: [4, ∞) Range: [-1,∞) 

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

• 
• 
• 
• 

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