Function Operations and Exponents

The video tutorial provides a comprehensive guide to preparing for a test on Chapter 6, covering 14 questions. It begins with an overview of the test, followed by detailed explanations and examples of the laws of exponents. The tutorial then moves on to operations with functions, including subtraction, multiplication, division, and composite functions. It also covers finding inverses and checking if functions are inverses of each other. The video concludes with problem-solving strategies and final tips for test preparation.

How many questions will the Chapter Six test have?

• 12

• 14

• 10

• 16

Which of the following topics will the first four questions of the test cover?

• Laws of Exponents

• Quadratic Equations

• Polynomials

• Linear Functions

What is the fourth root of 64?

• 8

• 2

• 16

• 4

In the expression X^5, how many groups of four X's can be formed?

• 4

• 3

• 2

• 1

What should you do when you encounter a negative exponent in the denominator?

• Ignore it

• Convert it to a positive exponent

• Multiply by zero

• Divide by the base

What is the simplified form of x^2 y^2 / x y^-2?

• x^4 y^4

• x y^3

• x^2 y^2

• x^3 y^4

Why can't you add square root of 50 and square root of 8 directly?

• They are not like terms

• They are both even

• They are both odd

• They are both prime

What is the simplified form of 5√2 + 2√2?

• 10√2

• 12√2

• 7√2

• 3√2

Which operation is NOT mentioned for f(x) and g(x)?

• Exponentiation

• Subtraction

• Addition

• Division

What must you find for all function operations?

• Range

• Asymptotes

• Domain

• Intercepts