Graphs of Logarithms and Asymptotes Flashcard

Front

What is the domain of the function f(x)=log_5(x+4) - 2?

Back

Domain: (-4, infinity)

Front

What is the range of the function f(x)=log_5(x+4) - 2?

Back

Range: all real numbers

Front

What is the range of the function y=log_2(x+1)?

Back

Range: (-∞, ∞)

Front

What is the value of log 100 when the base is 10?

Back

2

Front

What is the domain of the function y=log_2(x+1) given there is a vertical asymptote at x=-1?

Back

Domain: (-1, ∞)

Front

What does a vertical asymptote indicate in a logarithmic function?

Back

It indicates the value of x where the function approaches infinity or is undefined.

Front

What is the base of a common logarithm?

Back

The base of a common logarithm is 10.

Front

How do you find the domain of a logarithmic function?

Back

Set the argument of the log function greater than zero.

Front

What is the general shape of a logarithmic graph?

Back

It increases slowly and has a vertical asymptote.

Front

What happens to the graph of a logarithmic function as x approaches the vertical asymptote?

Back

The graph approaches negative infinity.