Transformations of Exponential & Logarithmic Functions

Front

What is the range of exponential functions?

Back

All Real Numbers

Tags

CCSS.HSF.BF.B.3

Front

What is the inverse of logarithmic functions?

Back

Exponential Functions

Tags

CCSS.HSF.BF.B.3

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

What is the base of a logarithm?

Back

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

Tags

CCSS.HSF.BF.B.5

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.

Tags

CCSS.HSF-IF.C.7E