What does a logarithmic graph look like

What does a logarithmic graph look like

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the graph of the exponential function y = b^x, highlighting its domain and range. It explains the concept of inverses, leading to the introduction of logarithmic functions. The tutorial demonstrates how to graph logarithmic functions by reflecting the exponential graph over the line y = x. It concludes with a discussion on the domain and range of logarithmic functions, emphasizing that the domain includes all positive real numbers, while the range covers all real numbers.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the point (0, 1) in the context of exponential functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the domain and range of the exponential function y = b^x.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the inverse of the exponential function and what does it represent?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of reflecting a graph over the line y = x to find its inverse.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the characteristics of the logarithmic function's domain and range?

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