Evaluate the definite integral with absolute value

Evaluate the definite integral with absolute value

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the equation y = 4 - |X|, focusing on understanding the absolute value function and its transformations. It covers how to find intercepts and calculate the integral by identifying the area under the graph. The tutorial emphasizes the reflection of the graph about the X-axis and the vertical shift due to the constant term.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation discussed in the text and how does it relate to the absolute value function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the transformations applied to the absolute value function in the given equation.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the intercepts of the function mentioned in the text?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the area above the X-axis in the context of the integral discussed?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the area of the triangle formed by the graph as described in the text.

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