Practice: Graphs of Log Functions

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

Which function best describes the following graph? y = Log₂ X, 2^x = y, y = 1/(2x), (1/2)^x = y

Back

y = Log₂ X

Front

What is the correct transformed equation for the graph? y = log(x - 4), y = log(x) - 4, y = log(x + 4), y = log(x) + 4

Back

y = log(x + 4)

Front

What is the range of the function graphed? (-∞, ∞), (-∞, 2] and [2, ∞), [2, ∞), (-∞, 2]

Back

(-∞, ∞)

Front

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

Back

(0, ∞)

Front

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

Back

The base b is the number that is raised to a power to obtain x.

Front

How do you convert a logarithmic equation to an exponential equation?

Back

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

Front

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

Back

x = 0.

Front

What happens to the graph of y = log(x) as x approaches 0 from the right?

Back

The graph approaches negative infinity.

Front

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

Back

There is no y-intercept; the graph does not cross the y-axis.