What is the domain of the logarithmic function $$y = \text{log}_b(x)$$ ?

The domain is $$(0, \text{infinity})$$ .

What is the range of the logarithmic function $$y = \text{log}_b(x)$$ ?

The range is $$(-\text{infinity}, \text{infinity})$$ .

What is the significance of the base in a logarithmic function?

The base determines the rate of growth of the logarithmic function; larger bases grow slower.

What is the decreasing interval of the function $$y = \text{log}_b(x)$$ ?

The function is always increasing for $$x > 0$$ ; it does not have a decreasing interval.

How do you find the x-intercept of the function $$y = \text{log}_b(x) + c$$ ?

Set $$y = 0$$ and solve for $$x$$ : $$0 = \text{log}_b(x) + c$$ .

What is the transformation represented by $$y = \text{log}_b(x - h) + k$$ ?

This represents a horizontal shift to the right by $$h$$ units and a vertical shift up by $$k$$ units.

What is the relationship between logarithmic and exponential functions?

Logarithmic functions are the inverse of exponential functions.

What does the notation $$\text{log}_b(x)$$ mean?

It represents the logarithm of $$x$$ to the base $$b$$ .

What is the effect of a negative constant added to a logarithmic function?

It shifts the graph downward by that constant value.

What is the general form of a logarithmic function?

The general form is $$y = a \text{log}_b(x - h) + k$$ , where $$a$$ , $$h$$ , and $$k$$ represent transformations.

Flashcard Review: Key Features of Log Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the parent function of logarithmic functions?

Back

Tags

CCSS.HSF-IF.C.7E

2.

FLASHCARD QUESTION

Front

Back

The transformation represents a vertical shift upward by 1 unit.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

What is a vertical asymptote in the context of logarithmic functions?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What does it mean for a function to be increasing?

Back

7.

FLASHCARD QUESTION

Front

What is the x-intercept of a logarithmic function?

Back

Tags

CCSS.HSF-IF.C.7E

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