Given a table of values of fx and it's inverse find the derivative

Given a table of values of fx and it's inverse find the derivative

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains the concept of inverse functions using F and G. It demonstrates how to find G of -3 and verify it with F. The tutorial also covers finding F prime of -3 by using the reciprocal of F prime of 7, ensuring the relationships between the functions are clear.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between functions F and G as discussed in the video?

They are identical functions.

They are inverse functions.

They are both quadratic functions.

They are unrelated functions.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value does G(-3) equal to, according to the video?

3

0

7

-3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the inverse relationship between F and G verified in the video?

By checking if F(-3) equals 7.

By checking if G(7) equals -3.

By checking if G(-3) equals 3.

By checking if F(7) equals -3.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of F prime of 7, as discussed in the video?

3

1/2

1/3

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of finding F prime of -3 in the context of inverse functions?

It helps in finding the original function.

It is equal to the derivative of G at -3.

It is the reciprocal of F prime of 7.

It determines the slope of G at 7.