Graph a logarithmic function with multiple transformations

Graph a logarithmic function with multiple transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the relationship between logarithmic and exponential functions, highlighting their inverse nature. It covers the graphing of logarithmic functions, focusing on transformations such as shifts and the movement of asymptotes. The tutorial also discusses the domain and range of these functions, emphasizing the importance of understanding graph limits and asymptotes.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between logarithmic and exponential functions?

They are both linear functions.

They have no relationship.

They are inverse functions of each other.

They are the same type of function.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-intercept of a logarithmic function?

(1, 1)

(0, 0)

(1, 0)

(0, 1)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a negative horizontal shift affect the graph of a logarithmic function?

It moves the graph down.

It moves the graph to the left.

It moves the graph to the right.

It moves the graph up.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the vertical asymptote when a logarithmic graph is shifted to the right?

It becomes horizontal.

It moves to the left.

It remains unchanged.

It moves to the right.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a logarithmic function after a rightward shift?

x > 0

All real numbers

x < 4

x > 4

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