Graphing Exponential and Logarithmic Functions

Front

What is the domain of log(x)?

Back

(0, ∞)

Front

What is the x-intercept of log_7(x)?

Back

(1, 0)

Front

Logarithmic functions are the inverse of what type of functions?

Back

Exponential Functions

Front

What is the general shape of the graph of a logarithmic function?

Back

The graph increases slowly and approaches the y-axis but never touches it.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

Front

What is the relationship between exponential and logarithmic functions?

Back

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

Front

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

Back

The vertical asymptote is at x = 0.

Front

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

Back

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

Front

What is the value of log_10(10)?

Back

1

Front

What is the value of log_2(8)?

Back

3, because 2^3 = 8.