Figure N1–7Also, for other inverse trigonometric functions,
y = cos−1 x (or arccos x) has domain −1 x 1 and range 0 y π;
y = tan−1 x (or arctan x) has domain the set of reals and range .
Note also that
E. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
E1. Exponential Functions
The following laws of exponents hold for all rational m and n, provided that a >
0, a ≠ 1:
The exponential function f(x) = a x (a > 0, a ≠ 1) is thus defined for all real x;
its range is the set of positive reals. The graph of y = a x, when a = 2, is shown in
Figure N1–8.
Of special interest and importance in calculus is the exponential function f(x)