6.4 & 6.5 Transformations & Properties of Log Functions

Front

What is the asymptote of the function y = log₂(x + 3)?

Back

x = -3

Front

In the general log function y = alog_b(x - h) + k, which letter determines horizontal shifts?

Back

h

Front

Logarithmic functions are the inverse of which type of functions?

Back

Exponential Functions

Front

Match the graph with its equation: y = log₄(x + 2) + 1

Back

This equation represents a logarithmic function shifted up by 1 unit.

Front

What is the asymptote of the function y = log(x - 6)?

Back

x = 6

Front

What does the 'a' in the general log function y = alog_b(x - h) + k represent?

Back

The vertical stretch or compression factor.

Front

What is the base of the logarithm in the function y = log₄(x)?

Back

4

Front

How does the value of 'k' affect the graph of the logarithmic function y = alog_b(x - h) + k?

Back

It shifts the graph vertically by k units.

Front

What is the domain of the function y = log(x + 2)?

Back

x > -2

Front

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

Back

All real numbers (−∞, ∞).