Given

(a) y = ex and

(b) y = ln x, and using a calculator or tables, construct a schedule and draw a graph for each of the functions to show that one function is the mirror image or inverse of the other, noting that (1) the domain of

(a) is the range of

(b) while the range of

(a) is the domain of (b), (2)

the In x is negative for 0 1, and (3) the In x is an increasing function and concave downward.

Transcribed Image Text:

(a) y = ex (b) y = In.x y x y x y y=x -2 0.13534 0.13534 -2 - 8 y=e 7 - -1 0.36788 0.36788 -1 0 1.00000 1.00000 0 654+ 6 4 1 2.71828 2.71828 1 3 2 7.38906 7.38906 2 2 y = ln x See Fig. 11-8. + -3-2-1 -2 1 2 3 4 5 6 7 8