What is the equation of the graph of an exponential function?

The general form of an exponential function is $$f(x) = a \times b^{(x - h)} + k$$ , where (h, k) is the translation of the graph.

What is the vertical asymptote of the logarithmic function f(x) = log b (x)?

The vertical asymptote of the logarithmic function is at $$x = 0$$ .

What does the graph of a logarithmic function look like?

The graph of a logarithmic function increases slowly and approaches the vertical asymptote at $$x = 0$$ .

What is the effect of changing the base of a logarithm?

Changing the base of a logarithm affects the steepness of the graph but not the overall shape.

What is the inverse of the logarithmic function?

The inverse of the logarithmic function is the exponential function. If $$y = \text{log}_b(x)$$ , then $$x = b^y$$ .

How do you convert between logarithmic and exponential forms?

To convert from logarithmic to exponential form, use the relationship: if $$y = \text{log}_b(x)$$ , then $$b^y = x$$ .

What is the horizontal asymptote of an exponential function?

The horizontal asymptote of an exponential function is typically at $$y = 0$$ .

Graphs of Logarithms and exponentials

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF-IF.C.7E, HSF.BF.B.5, HSF.IF.A.2

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FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Evaluate the logarithm: log₃3

Back

FLASHCARD QUESTION

Front

What is the relationship between logarithms and exponents?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Evaluate: log₈₁3

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSF-IF.C.7E

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

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