How does the graph of a function compare to it's inverse

How does the graph of a function compare to it's inverse

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the concept of functions and their inverses, using F(x) = x + 2 and its inverse F⁻¹(x) = x - 2 as examples. It demonstrates how to graph these functions on the same axes and discusses the special case where the function and its inverse are parallel lines. The tutorial emphasizes that inverses are reflections over the line y = x and explains how to find an inverse by swapping the x and y coordinates of a function's points. An example is provided to illustrate this process.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the function F of X as described in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why inverse functions are not always parallel.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between a function and its inverse based on the text.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you reflect a function over the line Y = X to find its inverse?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the coordinates of a point when finding the inverse of a function?

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