Graphing Radicals and Rational Exponents - Honors

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Write as a radical expression
y²⁄ ³

• 2y³
• √y³
• ∛y²
• 3y²

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

• 8

• 15

What function best describes this graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Sketch the graph of each function.

• 
• 
• 
• 

Describe the transformation

• Left 4 units, up 1 unit
• Right 4 units, up 1 unit
• Left 4 units, down 1 unit
• Right 4 units, down 1 unit

Identify the Range

• y ≤ 6
• All Real Numbers 
• x ≥ 6
• y ≤ 3

What is the domain of the graph of the radical function?

• (-infinity, infinity)
• (-7, infinity)
• (0, infinity)
• (4, infinity)