Given a quadratic function, find the inverse and determine if a function or not

Given a quadratic function, find the inverse and determine if a function or not

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of rewriting a function as y, swapping variables, and solving for X using inverse operations. It emphasizes the importance of introducing the square root with plus or minus and explains the distributive property for division. The teacher discusses the concept of functions and inverse functions, highlighting that an inverse function may not always be a function if it yields multiple y-values for a single x-value.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step mentioned for solving the equation?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of swapping X and Y variables as described in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What do you need to remember when introducing the square root in an equation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is the inverse of a function not considered a function in this context?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens when you plug in an X value of zero into the equation discussed?

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