How to add a cubic function and cube root function with domain

How to add a cubic function and cube root function with domain

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial focuses on understanding the addition of functions and identifying their domain. It explains that when adding functions like F(x) = cube root of 2x + 1 and G(x) = x^3 - 5, they cannot be combined as like terms. The tutorial emphasizes that the domain of these functions is all real numbers, as they do not involve taking the square root of a negative number or dividing by zero. The video aims to clarify the concept of domain in the context of function addition.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus when adding the functions F(x) = cube root of 2X + 1 and G(x) = X^3 - 5?

Simplifying the expression to a single term

Combining like terms

Identifying the domain of the resulting function

Identifying the range of the resulting function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the terms cube root of 2X + 1 and X^3 - 5 be combined?

They have different coefficients

They are not like terms

They are both constants

They are both polynomials

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the cube root function?

Only integers

Only positive numbers

All real numbers

Only negative numbers

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

What are the restrictions that do not apply to the functions discussed?

Dividing by zero

Adding negative numbers

Multiplying by zero

Square root of a negative number

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the combined function F(x) + G(x)?

Only integers

Only positive numbers

Only negative numbers

All real numbers

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