Adding, subtracting, multiplying and dividing two functions

Adding, subtracting, multiplying and dividing two functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the four basic operations on functions: addition, subtraction, multiplication, and division. It emphasizes the importance of understanding notation and using parentheses. The tutorial also explains how to identify domain restrictions, particularly when dealing with division. The box method is recommended for organizing multiplication of polynomials. Factoring is highlighted as a useful technique for simplifying expressions and determining domain restrictions.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the four basic operations discussed in the video?

Addition, Subtraction, Multiplication, Division

Addition, Subtraction, Exponentiation, Division

Addition, Multiplication, Division, Modulus

Subtraction, Multiplication, Division, Exponentiation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When adding functions, what is the first step to simplify the expression?

Combine like terms

Apply the zero product property

Factor the expression

Use the quadratic formula

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use parentheses when subtracting functions?

To ensure correct order of operations

To manage signs correctly

To simplify multiplication

To factor the expression

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is recommended for organizing terms when multiplying functions?

Box method

Synthetic division

Long division

Quadratic formula

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a function if there are no restrictions?

All real numbers

Positive integers

Rational numbers

Negative integers

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do to find the domain of a function with a fraction?

Use the quadratic formula

Set the numerator equal to zero

Set the denominator equal to zero

Use synthetic division

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a denominator is not factorable, what method might you use to find the domain?

Long division

Synthetic division

Box method

Quadratic formula