2.7Piecewisegraphs
PiecewiseFunctions
Definition
:functionsthatarerepresentedbyacombinationof
equations,eachcorrespondingtoapartofthedomain.
DOMAIN:
RANGE:
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Piecewise Functions and Graphs, Schemes and Mind Maps of Calculus
The concept of piecewise functions, which are represented by a combination of equations each corresponding to a part of the domain. It includes instructions on how to write the piecewise function, find the domain and range, and graph the functions. Examples are provided to illustrate the concepts.
Typology: Schemes and Mind Maps
2021/2022
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Piecewise Functions
Definition: functions that are represented by a combination of
equations, each corresponding to a part of the domain.
DOMAIN: RANGE:
GRAPH
DOMAIN:
RANGE:
GRAPH
DOMAIN:
RANGE:
GRAPH
DOMAIN:
RANGE:
Write the piecewise function and find the domain and range.
DOMAIN:
RANGE:
Evaluate each piecewise function at the given value.
2.6 Piecewise Functions and Absolute Value Graphs
Example 1: Graph each function. Identify the domain and range.
a.
b.
Piecewise Functions
Domain:
Range:
Domain:
Range:
a. b. Example 2: Graph each function and answer the followup questions. What is? What is? What is? Domain: Range: Domain: Range: Also, identify the domain and range.