Sums and Products of Functions and Addition of Ordinates (VCE SSCE Mathematical Methods): Flashcards

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Sums and Products of Functions and Addition of Ordinates
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Formula for (f+g)(x)(f + g)(x)

f(x)+g(x)f(x) + g(x)

Formula for (fg)(x)(fg)(x)

f(x)imesg(x)f(x) imes g(x)

Formula for (fg)(x)(f - g)(x)

f(x)g(x)f(x) - g(x)

Domain of (f+g)(f + g)

extdomfcapextdomg ext{dom } f cap ext{dom } g

What does capcap represent?

Intersection

What is an ordinate?

The yy-coordinate of a point

What is addition of ordinates?

Graphical technique adding yy-values of functions at each xx

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

g(x)g(x)

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

Greater than either f(x)f(x) or g(x)g(x)

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

Less than either f(x)f(x) or g(x)g(x)

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