How to find the inverse of functions by using restrictions

How to find the inverse of functions by using restrictions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers graph transformations, finding inverses, and domain restrictions. It explains how to sketch graphs, find inverses of functions, and restrict domains to ensure the inverse is a function. The tutorial also discusses analyzing quadratic functions and understanding domain and range, emphasizing the importance of correct notation and visualization.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

In the context of graph transformations, why is it important to restrict the domain when finding an inverse?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process for graphing a quadratic function, and how does it differ when considering restrictions on the domain?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the range of a function based on its graph, and how does this relate to the domain of its inverse?

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