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Coolmath Algebra
Functions Lesson 7 - Messier Function Notation (page 1 of 2)
---- This algebra lesson explains how to find deal with messier function notation to get you ready for the notation in the difference quotient

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OK, so we're cool with the easy notation like

f( -2 ) = ( -2 )^2 + 5 = 4 + 5 = 9
These ( ) are killer important!

What if we let x = k?

We'd get

That wasn't so bad... but, they get worse!

What would

be?

Let's get your brain thinking the right way... Then it will be easy!

Think of it as

This function guy takes any blob... squares it... then adds 5! So...

f( karen ) = ( karen )^2 + 5 ... f( coolmath ) = ( coolmath )^2 + 5 ... f( booger ) = ( booger )^2 + 5 ... f( x + h ) = ( x + h )^2 + 5

Whoa, dude! You just got tricked into doing one of the hardest things in Algebra!

then f( x + h ) = ( x + h )^2 + 5 ... = x^2 + 2xh + h^2 + 5 ... clean it up!

Continued on the next page

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