Graphing Logarithmic Functions

Front

What is the equation of the asymptote for the logarithmic function?

Back

x = -3

Front

What are the 'starting points' for graphing a logarithmic function?

Back

(1,0) and (b,1)

Front

Logarithmic functions are the inverse of which type of functions?

Back

Exponential Functions

Front

What is the general form of a logarithmic function?

Back

f(x) = a * log_b(x - h) + k, where (h,k) is the translation of the graph.

Front

What does the base 'b' in a logarithmic function represent?

Back

The base 'b' indicates the number that is raised to a power to obtain a given number.

Front

How does changing the base of a logarithmic function affect its graph?

Back

Changing the base alters the steepness and position of the graph.

Front

What is the domain of a logarithmic function?

Back

The domain is (h, ∞) where h is the horizontal shift.

Front

What is the range of a logarithmic function?

Back

The range is (-∞, ∞).

Front

What is the y-intercept of the logarithmic function f(x) = log_b(x)?

Back

The y-intercept is (1, 0).

Front

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

Back

Set f(x) = 0 and solve for x.