Graphs of Logs

Front

What is the x-intercept of a logarithmic function?

Back

The x-intercept of a logarithmic function is the point where the graph crosses the x-axis, which occurs when the function value is zero.

Front

What is the domain of a logarithmic function?

Back

The domain of a logarithmic function is the set of all positive real numbers, expressed as (0, ∞).

Front

What is the range of a logarithmic function?

Back

The range of a logarithmic function is all real numbers, expressed as (-∞, ∞).

Front

How do you find the x-intercept of a logarithmic function?

Back

To find the x-intercept, set the logarithmic function equal to zero and solve for x.

Front

What is the vertical asymptote of a logarithmic function?

Back

The vertical asymptote of a logarithmic function is the line x = 0.

Front

What happens to the value of a logarithmic function as x approaches 0 from the right?

Back

As x approaches 0 from the right, the value of the logarithmic function approaches negative infinity.

Front

What is the general form of a logarithmic function?

Back

The general form of a logarithmic function is y = log_b(x), where b is the base.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

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

Back

Changing the base of a logarithm affects the steepness of the graph but not the x-intercept.