Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

examine the function further to look for a relationship between the focal point and other corresponding points on the curve
use an alternative, more intuitive method for graphing exponential functions using transformations; more directly from the equation to the graph

By the end of this section students will be able to:

model real-world phenomena using exponential functions
describe and interpret domains and ranges using set notation
write exponential functions in transformational form and as mapping rules to visualize and sketch graphs
analyze and describe the characteristics of exponential and logarithmic functions
describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships
demonstrate an understanding of how parameter changes affect the graphs of exponential functions

To be successful in this lesson, it would be helpful to know the following: