Lecture 6: Exponential Functions and Limits

Question 1

exponential functions

Answer 1

• b>0, an exponential function with base b is represented by f(x) = b^x
• where x is the exponent of the function

Question 2

piecewise defined functions

Answer 2

line graph with x placed on the centre and the exponent values on corresponding sides

Question 3

composition of functions

Answer 3

composition of f and g is denoted and defined as
( f * g) (x) = f(g(x))

Question 4

right hand limits

Answer 4

• replace the component or value missing in the equation with the value given