Logarithmic Transformations

Logarithmic Transformations

Assessment

Flashcard

Mathematics

10th - 11th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the domain of the function f(x) = log₂(x)?

Back

Domain: x > 0

2.

FLASHCARD QUESTION

Front

What is the range of the function f(x) = log₂(x)?

Back

Range: all real numbers

3.

FLASHCARD QUESTION

Front

What happens to the asymptote of y = log₂(x + 2)?

Back

The asymptote shifts left two to x = -2.

4.

FLASHCARD QUESTION

Front

What is the equation of the asymptote for the function y = log₂(x + 3)?

Back

x = -3

5.

FLASHCARD QUESTION

Front

What are the transformations of the graph of y = log₂(x) + 5?

Back

Up 5

6.

FLASHCARD QUESTION

Front

What is the effect of adding a constant to the logarithmic function?

Back

It shifts the graph vertically.

7.

FLASHCARD QUESTION

Front

What is the effect of subtracting a constant from the input of a logarithmic function?

Back

It shifts the graph horizontally.

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