Week #8: Graphing Logarithmic Functions

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

What is the equation of the asymptote for the function y = log_b(x)?

Back

x = 0

Front

What is the range of logarithmic functions?

Back

(-∞, ∞)

Front

Match the graph with its equation: y = log_5 (x + 1) + 1

Back

The graph shifts left by 1 and up by 1.

Front

Which equation is the inverse of y = log_5 (x + 1) + 1?

Back

y = 5^(x - 1) - 1

Front

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

Back

(0, ∞)

Front

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

Back

Set y = 0 and solve for x.

Front

What does the base of a logarithm indicate?

Back

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

Front

What is the vertical asymptote of the function y = log_b(x)?

Back

x = 0

Front

How does changing the base of a logarithm affect its graph?

Back

It changes the steepness of the graph.