Finding Inverses and Simplifying Expressions

Finding Inverses and Simplifying Expressions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers three main topics: finding a function's inverse, verifying if two functions are inverses of each other, and solving literal equations. The instructor provides step-by-step guidance on each topic, including swapping variables to find inverses, using composition to verify inverses, and factoring to solve literal equations. The tutorial emphasizes the importance of understanding algebraic manipulation and function notation.

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29 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the three main topics covered in this session?

Understanding limits, continuity, and differentiability

Solving quadratic equations, graphing functions, and finding derivatives

Exploring matrices, vectors, and determinants

Finding a function's inverse, verifying inverses, and solving literal equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse of a function?

Graph the function

Integrate the function

Swap the variables x and y

Differentiate the function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After swapping variables, what is the next step in finding a function's inverse?

Solve for x

Differentiate the function

Solve for y

Graph the function

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of a cube passing horizontal and vertical line tests?

It is a quadratic function

It has an inverse that is a function

It is a linear function

It is a constant function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of verifying inverses using composition?

To confirm they undo each other

To check if they are differentiable

To verify they are integrable

To ensure they are continuous

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying the expression 3x + 4 - 4?

3x

x

4x

0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing 3x by 3?

9x

x

3x

0

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