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Mathematics - Upper Secondary - yTeach Publisher - Whiteboard presentation - Teaching object - Teaching resource - Composition of functions

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Composition of functions

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Subject

Mathematics

Grade

Upper Secondary

Publisher

yTeach Publisher

Resource types

Whiteboard presentation

Teaching type

Teaching object

Usage

Teaching resource



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Description At the end of this activity, students should be able to:
– understand composition of functions
– calculate the value of a composite function for a given argument
– find the formula for a composite function
– identify the domain of a composite function.
Partner resource
Composition of functions [Class activity]
Consists of...
Calculating the fourth root [Animation]
When is the composition of functions used? [Whiteboard exercise]
Using the composition of functions [Whiteboard exercise]
What is a composition of functions? [Animation]
Composition of functions [Whiteboard exercise]
Composition of functions given at some points [Whiteboard exercise]
Composition of functions given by the formulas [Whiteboard exercise]
The formula for the composite function [Animation]
Finding a formula for the composite function [Whiteboard exercise]
Finding the sign of the composite function [Whiteboard exercise]
Composition of linear functions [Animation]
Finding a formula for a composition of two linear functions [Whiteboard exercise]
Finding the  x-intercepts of the composite function [Whiteboard exercise]
The composition of linear functions [Simulation]
The domain of a composite function [Animation]
Which points are in the domain of the composite function? [Whiteboard exercise]
Finding the composite function and its domain [Whiteboard exercise]
Finding the domain of a composition of functions [Whiteboard exercise]
Finding the domain of a composition of functions on the number line [Whiteboard exercise]
Finding the range of a composition of functions [Whiteboard exercise]
The composition with a constant function [Animation]
Finding the composite functions [Whiteboard exercise]
Finding the domain and the range of the composite function [Whiteboard exercise]
The composition with a linear function of the form  f(x) = x + a [Animation]
Finding the graph of the composition with  f(x) = x + a [Whiteboard exercise]
The composition with a linear function [Simulation]
The composition with a linear function of the form  f(x) = ax [Animation]
Finding the graph of the composition with  f(x) = ax [Whiteboard exercise]
The graph of the function  f(x) = ax  for different values of  a [Simulation]
Relevant to...
Copyright YDP SA
Keywords

composition, functions, domain, formula, value, composite, argument, Composition of functions

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