Understanding Sequences and Functions

This video tutorial covers a review of Chapter 6, focusing on simplifying expressions, evaluating and graphing functions, and distinguishing between linear and exponential functions. It also explores exponential growth and decay, compounded interest, and solving equations with exponents. Additionally, the video discusses sequences and geometric series, providing a comprehensive review for students preparing for their test.

What is the result of simplifying 2 to the negative third power?

• 1/8

• 8

• 1/2

• 2

How do you simplify X to the 0 power?

• X

• Undefined

• 1

• 0

What is the simplified form of Y to the negative 4th power?

• Y^4

• 1/Y^4

• Y^-4

• 4Y

What is the result of 3 to the negative fourth power?

• 3

• 1/81

• 81

• 1/3

How do you simplify a to the third to the negative fourth power?

• 1/a^12

• a^12

• a^-12

• 12a

What is the cube root of 216?

• 24

• 18

• 12

• 6

How do you express 64 to the fifth power in radical notation?

• 5√(64^3)

• 5√64

• 64^(1/5)

• (64^5)^(1/3)

What is the cube root of negative 8?

• 4

• -4

• 2

• -2

How do you determine if a sequence is linear?

• X and Y both decrease by 1

• X increases by 1, Y decreases by 3

• X decreases by 1, Y increases by 3

• X and Y both increase by 1

What is the common ratio in an exponential sequence where Y is multiplied by 2?

• 4

• 1

• 2

• 3