Master How to find the inverse of quadratic and square root functions

Master How to find the inverse of quadratic and square root functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the inverse of various functions, including squared, square root, cubic, and cube root functions. It discusses the properties of these functions, such as their reflection about the Y=X line, and the use of constraints to ensure the inverse remains a function. The tutorial provides step-by-step instructions for finding inverses, highlighting the importance of swapping variables and understanding domain and range. It also covers the uniqueness of cube root functions and provides examples to illustrate these concepts.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to determine if a function is onto.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the vertical line test in relation to inverse functions?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What role do constraints play when dealing with square root functions?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you graph the inverse of a function, and what should you consider?

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