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.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the exponential function y = b^x?

All integers

All negative numbers

All positive numbers

All real numbers

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of the exponential function y = b^x?

y = x/b

y = x^b

y = log base b of x

y = b^(-x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the inverse of a function graphically?

Translate it upwards

Reflect it over the y = x line

Reflect it over the y-axis

Rotate it 90 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the logarithmic function y = log base b of x?

All real numbers

All integers

All negative numbers

All positive numbers

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the logarithmic function y = log base b of x?

All real numbers

All positive numbers

All negative numbers

All integers