Regents Exam: Algebra I August 2016 (Problem 30 of 37)

Regents Exam: Algebra I August 2016 (Problem 30 of 37)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the values of X for which two functions, F(x) and G(x), are equal by analyzing their graph. The functions are equal at the points where their curves intersect. The tutorial identifies these intersection points as (-3, 4) and (1, 3), leading to the conclusion that the values of X where F(x) equals G(x) are X = -3 and X = 1. The explanation is concluded with the use of function notation to express these solutions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the values of X for which F of X equals G of X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the points where two functions intersect on a graph?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for two functions to share the same X and Y coordinates?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the points where the two functions are equal?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the points of intersection in the context of functions.

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