Addition of Ordinates for Circular Functions (VCE SSCE Mathematical Methods): Flashcards

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Addition of Ordinates for Circular Functions
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Addition of ordinates definition

Adding y-values of two functions at each x-value to graph their sum

Applications of addition of ordinates

Audio compression and signal processing

Value of (f+g)(x)(f + g)(x) when f(x)=0f(x) = 0

g(x)g(x) - sum passes through same point as g(x)g(x)

Value of (f+g)(x)(f + g)(x) when g(x)=0g(x) = 0

f(x)f(x) - sum passes through same point as f(x)f(x)

(f+g)(x)(f + g)(x) when both f(x)f(x) and g(x)g(x) are positive

Greater than either individual function

(f+g)(x)(f + g)(x) when both f(x)f(x) and g(x)g(x) are negative

More negative than either individual function

(f+g)(x)(f + g)(x) when f(x)f(x) positive, g(x)g(x) negative

Sum lies between the two functions

How to find x-intercepts of sum function

Look for values where f(x)+g(x)=0f(x) + g(x) = 0

Method to construct sum function graphically

Add y-values of component functions at each x-value

Key points for addition of ordinates table

Where functions have maxima, minima, or zeros

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