Inverse of a quadratic function with domain restriction

Inverse of a quadratic function with domain restriction

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains one-to-one functions, emphasizing that each X value must have a unique Y value. It introduces the horizontal line test to determine if a function is one-to-one. The tutorial discusses graphing with restrictions to find inverses and provides steps to calculate the inverse of a function. It also covers the relationship between the domain and range of functions and their inverses.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a function to be one-to-one?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the horizontal line test and its significance in determining if a function is one-to-one.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does restricting the domain of a function affect its one-to-one property?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in finding the inverse of a function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the relationship between the domain of a function and the range of its inverse.

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