2.8 - 2.11 Review

Front

What are logarithms and exponentials in relation to each other?

Back

Logarithms and exponentials are inverses of each other.

Front

What is the equation of the vertical asymptote for the function y=log(x+1)?

Back

The equation of the vertical asymptote is x = -1.

Front

What is the range of the function y=log2(x+1)?

Back

The range of the function is (-∞, ∞).

Front

What transformation occurs when the function y=log(x) is shifted right 3 and down 3?

Back

The transformed function is y=log(x-3)-3.

Front

What is the base of the logarithm in the function y=log2(x+1)?

Back

The base of the logarithm is 2.

Front

How do you express the logarithm of a number in exponential form?

Back

If y = log_b(x), then x = b^y.

Front

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

Back

The domain of the function is x > -1.

Front

What is the value of log2(8)?

Back

The value of log2(8) is 3.

Front

What does it mean for two functions to be inverses?

Back

Two functions are inverses if their compositions yield the identity function.

Front

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

Back

The horizontal asymptote is y = 0.