MAT134Y5 Lecture 6: exponential behavior

(a) what are the do ain and range of the natural exponential function ?

(b) What are the domain and range of the natural logarithmic function ?

(c) How are the graphs of these functions related? Sketch these graphs, by hand, using the same axes.

(d) If a is a positive number , write an equation that expresses in terms of

The functions f and g are both of the form .

(a) Do the functions f and g represent exponential growth or exponential decay? Explain. 

(b) Assume both functions have the same value of C. Which function has a greater value of k? Explain. 

HOW DO YOU SEE IT? The functions f and g are both of the form .

(a) Do the functions f and g represent exponential growth or exponential decay? Explain.

(b) Assume both functions have the same value of C. Which function has a greater value of k? Explain.