Graphs of Logarithmic Functions

Front

What is the equation of the function after translating f(x)=log₃x 6 units to the left and 4 units up?

Back

g(x)=log₃(x+6)+4

Front

What is the domain and range of f(x) = log₂(x)?

Back

Domain: x > 0; Range: all real numbers

Front

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

Back

left 3, down 1

Front

What is the equation of the asymptote in the graph of y=log₅(x+3)+5?

Back

x = -3

Front

Find the asymptote of y = log₁₀(x+3).

Back

x = -3

Front

Define a logarithmic function.

Back

A logarithmic function is the inverse of an exponential function, expressed as f(x) = 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, denoted as log_b(a) = c if b^c = a.

Front

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

Back

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

Front

What is the vertical asymptote of the function f(x) = log_b(x - h)?

Back

The vertical asymptote is x = h.

Front

What happens to the graph of a logarithmic function as x approaches the vertical asymptote?

Back

The graph approaches negative infinity.