Effects and Properties of Root Functions

The video tutorial covers square and cube root functions, focusing on their properties, transformations, and graphing techniques. It explains the effects of scalar multiplication, horizontal and vertical translations, and how these transformations affect the graph's shape and position. The tutorial also provides step-by-step instructions for graphing both square and cube root functions, emphasizing the importance of reference points and domain and range considerations.

What is the square root of 4?

• 1

• 4

• 2

• 3

Which of the following is a perfect square?

• 3

• 2

• 4

• 5

What is the domain of a basic square root function?

• x > 0

• x ≤ 0

• x ≥ 0

• x < 0

What is the range of a basic square root function?

• y ≤ 0

• y < 0

• y > 0

• y ≥ 0

What happens to a square root function when multiplied by a number greater than 1?

• It shrinks

• It remains unchanged

• It stretches

• It flips

What is the effect of multiplying a square root function by a negative number?

• It flips

• It remains unchanged

• It stretches

• It shrinks

How does adding a number inside the square root affect the graph?

• Moves right

• Moves down

• Moves up

• Moves left

What is the effect of adding a number outside the square root?

• Moves left

• Moves right

• Moves up

• Moves down

What is the cube root of 1?

• 0

• 1

• 2

• 3

What is the domain of a basic cube root function?

• x < 0

• All real numbers

• x ≥ 0

• x > 0