Learning how to find the inverse of a quadratic and using restrictions

Learning how to find the inverse of a quadratic and using restrictions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of functions, focusing on the function F(x) = x^2. It explains how to determine if a graph represents a function using the vertical line test. The tutorial then explores inverse functions, highlighting the horizontal line test to check if an inverse is a function. It demonstrates how to find the inverse of a function by swapping variables and solving for y. The video concludes by explaining how to restrict the inverse to the positive square root to make it a function.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the Y = X line in the context of graphing inverses?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the graph of the inverse function be represented when applying a restriction?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss why not all inverses of functions are functions, based on the information provided.

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