Graphing Logarithmic Functions

Front

What is the domain of a logarithmic function?

Back

The domain of a logarithmic function is x > 0.

Front

What type of asymptote does a logarithmic function have?

Back

A logarithmic function has a vertical asymptote.

Front

What is the domain of f(x) = log(x + 1)?

Back

The domain is (−1, ∞).

Front

What is the range of f(x) = log(x)?

Back

The range is (−∞, ∞).

Front

What is the domain of f(x) = log₃(x + 1)?

Back

The domain is (−1, ∞).

Front

What is the range of f(x) = -ln(x - 2) + 3?

Back

The range is all real numbers.

Front

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

Back

The vertical asymptote is at x = 0.

Front

How does the graph of a logarithmic function behave as x approaches its domain limit?

Back

As x approaches the domain limit from the right, the function approaches negative infinity.

Front

What is the effect of a vertical shift on the graph of a logarithmic function?

Back

A vertical shift moves the graph up or down without affecting the domain.

Front

What happens to the graph of f(x) = log(x) when x is multiplied by a negative number?

Back

The graph reflects over the y-axis.