Solving equations
The difference equation
Using The difference equation
tool allows you enter an equation f(x)=g(x), and the tool
displays the equation h(x)=0, where h(x) is the difference function
h(x)=f(x)-g(x).
Investigate difference equations and discuss the
connection between the original equation and the
difference equation
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When is the difference equation a linear function? What does this
imply about the original equation?
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When is the difference equation a constant function? What does this
imply about the original equation?
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For each figure below:
- Construct an equation similar to the one
in the figure.
- Construct the correponding diference equation.
- Transform the difference equation into an equation of the
type [vertex form]=[constant].
- Find the solutions to the equation you constructed. |
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Exercise 6 and Exercise 7
generate additional quadratic equations. Find their solutions
by constructing the difference equation and transforming it into an equation
of the type [vertex form]=[constant].
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