AB PrecCalc Log Graphs/Exp Graphs

Front

What are logarithms and exponentials?

Back

They are inverse functions.

Front

Rewrite the expression 10^x = y as a logarithm.

Back

log10(y) = x.

Front

What is the inverse of the coordinates (1, 2), (3, 8), (-3, 6)?

Back

(2, 1), (8, 3), (6, -3).

Front

What type of function is represented by the equation y = 2^x?

Back

Exponential function.

Front

What is the range of the graph of the function y = 2^x?

Back

(0, ∞).

Front

What is the base of the natural logarithm?

Back

e (approximately 2.718).

Front

How do you express log_b(a) in exponential form?

Back

b^x = a.

Front

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

Back

(0, ∞).

Front

What is the value of log10(100)?

Back

2.

Front

What is the relationship between the graphs of y = log(x) and y = 10^x?

Back

They are reflections across the line y = x.