Families of Functions and Solving Literal Equations (VCE SSCE Mathematical Methods): Flashcards

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Families of Functions and Solving Literal Equations
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Family of functions

Related functions sharing form, differing by parameters

Parameters in function families

Constants (like mm, kk, aa, bb) that can take various values

Product of perpendicular line gradients

Equals 1-1, so m_{perp} = - rac{1}{m}

Steps to find inverse function

Swap xx and yy, then solve for yy

Literal equation

Equation containing multiple variables and parameters

Finding x-axis intercept

Set y=0y = 0 and solve for xx

First step solving literal equations

Isolate the term containing xx first

Number of functions in a family

Infinitely many functions

Caution with inequality & parameter

Consider parameter sign before multiplying/dividing

Transformations with parameters

Describe families of transformations

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