Graph the Inverse of a Function

Graph the Inverse of a Function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video introduces inverse functions through a warm-up game, demonstrating how operations can be undone to reveal a consistent result. It explains the concept of inverse operations and provides an algebraic representation using variables. The video also covers the formal definition of inverse functions, emphasizing the importance of domain and range. Graphical representations are used to illustrate the symmetry between functions and their inverses, highlighting the swapping of x and y coordinates.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

In the context of the lesson, what does it mean for a function to pass the horizontal line test?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the main takeaway regarding the symmetry of a function and its inverse?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the identity line, and how does it relate to the graphs of a function and its inverse?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you graph the inverse of a function using points from the original function?

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