Graph a logarithmic equation and determine the domain and range

Graph a logarithmic equation and determine the domain and range

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to apply transformations to logarithmic functions, focusing on reflection and vertical shifts. It begins with identifying the parent function and its characteristics, such as the X-intercept. The tutorial then demonstrates how to graph the parent function and apply transformations, including reflecting over the X-axis and shifting vertically. Finally, it covers determining the asymptote and domain of the transformed graph, emphasizing the importance of understanding these concepts for various types of functions.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the parent function mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the X intercept in logarithmic equations?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the Y value when X equals 9 for the function Y = log base 3 of X?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the transformations applied to the graph of the logarithmic function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the graph when it is reflected over the X axis?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the asymptote of the logarithmic function discussed in the text?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the domain and range of the logarithmic function after transformations.

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