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Graphs of Linear, Exponential, and Quadratic Functions

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Graphs of Linear, Exponential, and Quadratic Functions

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This video shows you how to write the recursive and explicit equations for quadratic functions.

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Uploaded by MMRHS Math Help on 2014-05-13.

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This function is quadratic because the 2nd differences are the same (2).
Recursive:
f(n)=f(n-1)+2n-1, f(-3)=4
Explicit:
f(n)=n^2-5

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This function is exponential because it is dividing by 4 each term.
Recursive:
f(n)=f(n-1)x 1/2, f(-3)=8
Explicit:
f(n)=0.5^n

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This function is linear because it is increasing by 5 each time.
Recursive:
f(n)=f(n-1)+5, f(0)=50
Explicit:
f(n)=5n+50