Guided Notes-B4.01-Graphs of Exponential Relationships.pdf...

Graphs of Exponential Relationships
Glossary
TERM DEFINITION
key features
exponential a relationship in which a change in the independent variable results in a constant
percentage rate of increase or decrease in the dependent variable
end behavior a description of the values of the graph as the independent variable approaches positive
or negative infinity
asymptote
domain
range
Objective
In this lesson, you will
Key Features of Exponential Graphs
Intercepts
An ____________ is a specific point where a function’s graph crosses
an _______. The x -intercept is where the graph crosses the
__________, and the y -intercept is where the graph crosses the
__________. The x -intercept occurs when ____ = 0. The
y -intercept occurs when ____ = 0.
Intervals of Increase or Decrease
For intervals where the function values increase as the x -values
_____________, the function is _______________ on that interval.
For intervals where the function values decrease as the x -values
_____________, the function is _______________ on that interval.
Exponential functions are always either increasing or decreasing for
all x -values, that is, over the interval −∞ < x < ∞.
Guided Notes
©Edmentum. Permission granted to copy for classroom use.

Intervals Where a Function is
Positive or Negative
If the graph of a function passes through any point on the
___________, then the function includes both positive and negative
____ - values.
For this exponential function, the graph is ________________ on the
interval −∞ < x < 1 and ________________ on the interval 1 < x <
∞.
End Behavior
End behavior describes the ___________ the graph will take when x -
values approach positive or negative _____________. Graphs
increase or decrease without ___________, remain _____________,
or approach a specific ____________.