AB PrecCalc Log Graphs/Exp Graphs

Front

What is the domain of the logarithmic function f(x) = log_b(x)?

Back

The domain of the logarithmic function f(x) = log_b(x) is (0, ∞).

Front

What transformation occurs when the graph of f(x) = log_b(x) is shifted right by 3 and down by 3?

Back

The transformed function is g(x) = log_b(x - 3) - 3.

Front

What is the value of log_4(1)?

Back

0

Front

Write the equation of the function f(x) = log_3(x) after translating it 6 units left and 4 units up.

Back

g(x) = log_3(x + 6) + 4.

Front

What does the limit statement \lim_{x\rightarrow4^-} f(x) = -\infty indicate about the logarithmic graph?

Back

It indicates that as x approaches 4 from the left, the function value decreases without bound.

Front

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

Back

The range of the logarithmic function is (-∞, ∞).

Front

How does the base of a logarithm affect its graph?

Back

A larger base results in a graph that increases more slowly, while a smaller base increases more rapidly.

Front

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

Back

The vertical asymptote is at x = 0.

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions are the inverse of logarithmic functions.

Front

What is the value of log_b(b)?

Back

1, because any number raised to the power of 1 is itself.