Transformations of Exponential & Logarithmic Functions

Front

What is the range of exponential functions?

Back

All Real Numbers

Front

What is the inverse of logarithmic functions?

Back

Exponential Functions

Front

Describe the transformation: f(x) = log(x) to f(x) = log(x - 3) + 2.

Back

Shift right 3 units and up 2 units.

Front

What does a vertical stretch by a factor of 3 do to the graph of f(x) = log(x)?

Back

It makes the graph steeper.

Front

What is the domain of logarithmic functions?

Back

x > 0

Front

How does the graph of f(x) = log(x) change when it is transformed to f(x) = log(x + 2)?

Back

Shift left 2 units.

Front

What is the effect of adding a constant to a logarithmic function?

Back

It shifts the graph vertically.

Front

What is the base of a logarithm?

Back

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

Front

What is the range of the function f(x) = log(x)?

Back

All Real Numbers

Front

How do you identify the vertical asymptote of a logarithmic function?

Back

Set the argument of the log function to zero.