Graphs of Log Functions

Front

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

Back

(-1, ∞)

Front

What is the transformation of the logarithmic function f(x)=log(x+3)-1?

Back

left 3, down 1

Front

What is the natural logarithm represented as?

Back

ln

Front

What kind of asymptotes do logarithmic functions have?

Back

vertical (x=0)

Front

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

Back

(-∞, ∞)

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 number.

Front

How do you express log_b(a) in exponential form?

Back

b^y = a, where y = log_b(a)

Front

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

Back

x=0

Front

What happens to the graph of y=log(x) as x approaches 0 from the right?

Back

The graph approaches negative infinity.

Front

What is the effect of adding a constant to a logarithmic function, such as f(x)=log(x)+c?

Back

It shifts the graph vertically by c units.